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Finding the Fourth Proportional to 96.47, 132.95 and 74.57

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Solution

The fourth proportional to 96.47, 132.95 and 74.57 is: 102.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.47 : 132.95 = 74.57 : x
  2. Step 2: Convert to fraction form
    96.47/132.95 = 74.57/x
  3. Step 3: Cross multiply
    96.47x = 132.95 × 74.57
  4. Step 4: Simplify right side
    96.47x = 9,913.71
  5. Step 5: Solve for x
    x = 9,913.71/96.47
  6. Step 6: Final answer
    x = 102.76

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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.