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Finding the Fourth Proportional to 106.86, 147.46 and 64.85

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Solution

The fourth proportional to 106.86, 147.46 and 64.85 is: 89.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.86 : 147.46 = 64.85 : x
  2. Step 2: Convert to fraction form
    106.86/147.46 = 64.85/x
  3. Step 3: Cross multiply
    106.86x = 147.46 × 64.85
  4. Step 4: Simplify right side
    106.86x = 9,562.78
  5. Step 5: Solve for x
    x = 9,562.78/106.86
  6. Step 6: Final answer
    x = 89.49

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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.