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Finding the Fourth Proportional to 106.15, 159.35 and 54.85

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Solution

The fourth proportional to 106.15, 159.35 and 54.85 is: 82.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.15 : 159.35 = 54.85 : x
  2. Step 2: Convert to fraction form
    106.15/159.35 = 54.85/x
  3. Step 3: Cross multiply
    106.15x = 159.35 × 54.85
  4. Step 4: Simplify right side
    106.15x = 8,740.35
  5. Step 5: Solve for x
    x = 8,740.35/106.15
  6. Step 6: Final answer
    x = 82.34

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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.