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Finding the Fourth Proportional to 113.43, 156.52 and 69.16

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Solution

The fourth proportional to 113.43, 156.52 and 69.16 is: 95.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.43 : 156.52 = 69.16 : x
  2. Step 2: Convert to fraction form
    113.43/156.52 = 69.16/x
  3. Step 3: Cross multiply
    113.43x = 156.52 × 69.16
  4. Step 4: Simplify right side
    113.43x = 10,824.92
  5. Step 5: Solve for x
    x = 10,824.92/113.43
  6. Step 6: Final answer
    x = 95.43

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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.