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Finding the Fourth Proportional to 124.04, 171.14 and 85.24

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Solution

The fourth proportional to 124.04, 171.14 and 85.24 is: 117.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.04 : 171.14 = 85.24 : x
  2. Step 2: Convert to fraction form
    124.04/171.14 = 85.24/x
  3. Step 3: Cross multiply
    124.04x = 171.14 × 85.24
  4. Step 4: Simplify right side
    124.04x = 14,587.97
  5. Step 5: Solve for x
    x = 14,587.97/124.04
  6. Step 6: Final answer
    x = 117.61

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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.