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Finding the Fourth Proportional to 170.75, 235.64 and 105.25

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Solution

The fourth proportional to 170.75, 235.64 and 105.25 is: 145.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.75 : 235.64 = 105.25 : x
  2. Step 2: Convert to fraction form
    170.75/235.64 = 105.25/x
  3. Step 3: Cross multiply
    170.75x = 235.64 × 105.25
  4. Step 4: Simplify right side
    170.75x = 24,801.11
  5. Step 5: Solve for x
    x = 24,801.11/170.75
  6. Step 6: Final answer
    x = 145.25

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Find fourth proportional to 85.38, 117.82 and 52.63
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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.