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Finding the Fourth Proportional to 96.42, 133.10 and 71.89

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Solution

The fourth proportional to 96.42, 133.10 and 71.89 is: 99.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.42 : 133.10 = 71.89 : x
  2. Step 2: Convert to fraction form
    96.42/133.10 = 71.89/x
  3. Step 3: Cross multiply
    96.42x = 133.10 × 71.89
  4. Step 4: Simplify right side
    96.42x = 9,568.56
  5. Step 5: Solve for x
    x = 9,568.56/96.42
  6. Step 6: Final answer
    x = 99.24

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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.