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Finding the Fourth Proportional to 113.32, 156.42 and 102.92

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Solution

The fourth proportional to 113.32, 156.42 and 102.92 is: 142.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.32 : 156.42 = 102.92 : x
  2. Step 2: Convert to fraction form
    113.32/156.42 = 102.92/x
  3. Step 3: Cross multiply
    113.32x = 156.42 × 102.92
  4. Step 4: Simplify right side
    113.32x = 16,098.75
  5. Step 5: Solve for x
    x = 16,098.75/113.32
  6. Step 6: Final answer
    x = 142.06

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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.