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Finding the Fourth Proportional to 106.61, 146.71 and 97.87

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Solution

The fourth proportional to 106.61, 146.71 and 97.87 is: 134.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.61 : 146.71 = 97.87 : x
  2. Step 2: Convert to fraction form
    106.61/146.71 = 97.87/x
  3. Step 3: Cross multiply
    106.61x = 146.71 × 97.87
  4. Step 4: Simplify right side
    106.61x = 14,358.02
  5. Step 5: Solve for x
    x = 14,358.02/106.61
  6. Step 6: Final answer
    x = 134.68

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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.