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Finding the Fourth Proportional to 97.75, 145.97 and 86.72

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Solution

The fourth proportional to 97.75, 145.97 and 86.72 is: 129.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.75 : 145.97 = 86.72 : x
  2. Step 2: Convert to fraction form
    97.75/145.97 = 86.72/x
  3. Step 3: Cross multiply
    97.75x = 145.97 × 86.72
  4. Step 4: Simplify right side
    97.75x = 12,658.01
  5. Step 5: Solve for x
    x = 12,658.01/97.75
  6. Step 6: Final answer
    x = 129.50

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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.