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Finding the Fourth Proportional to 130.92, 180.72 and 87.24

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Solution

The fourth proportional to 130.92, 180.72 and 87.24 is: 120.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.92 : 180.72 = 87.24 : x
  2. Step 2: Convert to fraction form
    130.92/180.72 = 87.24/x
  3. Step 3: Cross multiply
    130.92x = 180.72 × 87.24
  4. Step 4: Simplify right side
    130.92x = 15,766.01
  5. Step 5: Solve for x
    x = 15,766.01/130.92
  6. Step 6: Final answer
    x = 120.42

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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.