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Finding the Fourth Proportional to 97.52, 145.57 and 86.84

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Solution

The fourth proportional to 97.52, 145.57 and 86.84 is: 129.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.52 : 145.57 = 86.84 : x
  2. Step 2: Convert to fraction form
    97.52/145.57 = 86.84/x
  3. Step 3: Cross multiply
    97.52x = 145.57 × 86.84
  4. Step 4: Simplify right side
    97.52x = 12,641.30
  5. Step 5: Solve for x
    x = 12,641.30/97.52
  6. Step 6: Final answer
    x = 129.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.