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Finding the Fourth Proportional to 124.24, 171.52 and 86.96

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Solution

The fourth proportional to 124.24, 171.52 and 86.96 is: 120.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.24 : 171.52 = 86.96 : x
  2. Step 2: Convert to fraction form
    124.24/171.52 = 86.96/x
  3. Step 3: Cross multiply
    124.24x = 171.52 × 86.96
  4. Step 4: Simplify right side
    124.24x = 14,915.38
  5. Step 5: Solve for x
    x = 14,915.38/124.24
  6. Step 6: Final answer
    x = 120.05

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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.