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Finding the Fourth Proportional to 106.57, 159.85 and 55.19

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Solution

The fourth proportional to 106.57, 159.85 and 55.19 is: 82.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.57 : 159.85 = 55.19 : x
  2. Step 2: Convert to fraction form
    106.57/159.85 = 55.19/x
  3. Step 3: Cross multiply
    106.57x = 159.85 × 55.19
  4. Step 4: Simplify right side
    106.57x = 8,822.12
  5. Step 5: Solve for x
    x = 8,822.12/106.57
  6. Step 6: Final answer
    x = 82.78

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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.