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Finding the Fourth Proportional to 170.74, 235.71 and 105.30

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Solution

The fourth proportional to 170.74, 235.71 and 105.30 is: 145.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.74 : 235.71 = 105.30 : x
  2. Step 2: Convert to fraction form
    170.74/235.71 = 105.30/x
  3. Step 3: Cross multiply
    170.74x = 235.71 × 105.30
  4. Step 4: Simplify right side
    170.74x = 24,820.26
  5. Step 5: Solve for x
    x = 24,820.26/170.74
  6. Step 6: Final answer
    x = 145.37

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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.