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Finding the Fourth Proportional to 170.95, 235.81 and 105.34

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Solution

The fourth proportional to 170.95, 235.81 and 105.34 is: 145.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.95 : 235.81 = 105.34 : x
  2. Step 2: Convert to fraction form
    170.95/235.81 = 105.34/x
  3. Step 3: Cross multiply
    170.95x = 235.81 × 105.34
  4. Step 4: Simplify right side
    170.95x = 24,840.23
  5. Step 5: Solve for x
    x = 24,840.23/170.95
  6. Step 6: Final answer
    x = 145.31

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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.