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Finding the Fourth Proportional to 96.14, 132.46 and 65.02

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Solution

The fourth proportional to 96.14, 132.46 and 65.02 is: 89.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.14 : 132.46 = 65.02 : x
  2. Step 2: Convert to fraction form
    96.14/132.46 = 65.02/x
  3. Step 3: Cross multiply
    96.14x = 132.46 × 65.02
  4. Step 4: Simplify right side
    96.14x = 8,612.55
  5. Step 5: Solve for x
    x = 8,612.55/96.14
  6. Step 6: Final answer
    x = 89.58

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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.