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Finding the Fourth Proportional to 106.32, 146.52 and 84.15

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Solution

The fourth proportional to 106.32, 146.52 and 84.15 is: 115.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.32 : 146.52 = 84.15 : x
  2. Step 2: Convert to fraction form
    106.32/146.52 = 84.15/x
  3. Step 3: Cross multiply
    106.32x = 146.52 × 84.15
  4. Step 4: Simplify right side
    106.32x = 12,329.66
  5. Step 5: Solve for x
    x = 12,329.66/106.32
  6. Step 6: Final answer
    x = 115.97

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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.