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Finding the Fourth Proportional to 97.65, 134.61 and 96.42

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Solution

The fourth proportional to 97.65, 134.61 and 96.42 is: 132.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.65 : 134.61 = 96.42 : x
  2. Step 2: Convert to fraction form
    97.65/134.61 = 96.42/x
  3. Step 3: Cross multiply
    97.65x = 134.61 × 96.42
  4. Step 4: Simplify right side
    97.65x = 12,979.10
  5. Step 5: Solve for x
    x = 12,979.10/97.65
  6. Step 6: Final answer
    x = 132.91

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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.