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Finding the Fourth Proportional to 113.76, 156.52 and 97.32

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Solution

The fourth proportional to 113.76, 156.52 and 97.32 is: 133.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.76 : 156.52 = 97.32 : x
  2. Step 2: Convert to fraction form
    113.76/156.52 = 97.32/x
  3. Step 3: Cross multiply
    113.76x = 156.52 × 97.32
  4. Step 4: Simplify right side
    113.76x = 15,232.53
  5. Step 5: Solve for x
    x = 15,232.53/113.76
  6. Step 6: Final answer
    x = 133.90

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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.