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Finding the Fourth Proportional to 124.64, 171.78 and 87.71

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Solution

The fourth proportional to 124.64, 171.78 and 87.71 is: 120.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.64 : 171.78 = 87.71 : x
  2. Step 2: Convert to fraction form
    124.64/171.78 = 87.71/x
  3. Step 3: Cross multiply
    124.64x = 171.78 × 87.71
  4. Step 4: Simplify right side
    124.64x = 15,065.96
  5. Step 5: Solve for x
    x = 15,065.96/124.64
  6. Step 6: Final answer
    x = 120.88

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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.