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Finding the Fourth Proportional to 96.54, 132.02 and 93.18

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Solution

The fourth proportional to 96.54, 132.02 and 93.18 is: 127.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.54 : 132.02 = 93.18 : x
  2. Step 2: Convert to fraction form
    96.54/132.02 = 93.18/x
  3. Step 3: Cross multiply
    96.54x = 132.02 × 93.18
  4. Step 4: Simplify right side
    96.54x = 12,301.16
  5. Step 5: Solve for x
    x = 12,301.16/96.54
  6. Step 6: Final answer
    x = 127.42

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.