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Finding the Fourth Proportional to 96.14, 132.76 and 61.23

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Solution

The fourth proportional to 96.14, 132.76 and 61.23 is: 84.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.14 : 132.76 = 61.23 : x
  2. Step 2: Convert to fraction form
    96.14/132.76 = 61.23/x
  3. Step 3: Cross multiply
    96.14x = 132.76 × 61.23
  4. Step 4: Simplify right side
    96.14x = 8,128.89
  5. Step 5: Solve for x
    x = 8,128.89/96.14
  6. Step 6: Final answer
    x = 84.56

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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.