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Finding the Fourth Proportional to 97.92, 135.06 and 59.10

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Solution

The fourth proportional to 97.92, 135.06 and 59.10 is: 81.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.92 : 135.06 = 59.10 : x
  2. Step 2: Convert to fraction form
    97.92/135.06 = 59.10/x
  3. Step 3: Cross multiply
    97.92x = 135.06 × 59.10
  4. Step 4: Simplify right side
    97.92x = 7,982.05
  5. Step 5: Solve for x
    x = 7,982.05/97.92
  6. Step 6: Final answer
    x = 81.52

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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.