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Finding the Fourth Proportional to 96.32, 132.88 and 71.81

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Solution

The fourth proportional to 96.32, 132.88 and 71.81 is: 99.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.32 : 132.88 = 71.81 : x
  2. Step 2: Convert to fraction form
    96.32/132.88 = 71.81/x
  3. Step 3: Cross multiply
    96.32x = 132.88 × 71.81
  4. Step 4: Simplify right side
    96.32x = 9,542.11
  5. Step 5: Solve for x
    x = 9,542.11/96.32
  6. Step 6: Final answer
    x = 99.07

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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.