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Finding the Fourth Proportional to 97.67, 146.33 and 86.87

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Solution

The fourth proportional to 97.67, 146.33 and 86.87 is: 130.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.67 : 146.33 = 86.87 : x
  2. Step 2: Convert to fraction form
    97.67/146.33 = 86.87/x
  3. Step 3: Cross multiply
    97.67x = 146.33 × 86.87
  4. Step 4: Simplify right side
    97.67x = 12,711.25
  5. Step 5: Solve for x
    x = 12,711.25/97.67
  6. Step 6: Final answer
    x = 130.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.