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Finding the Fourth Proportional to 106.04, 158.86 and 54.61

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Solution

The fourth proportional to 106.04, 158.86 and 54.61 is: 81.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.04 : 158.86 = 54.61 : x
  2. Step 2: Convert to fraction form
    106.04/158.86 = 54.61/x
  3. Step 3: Cross multiply
    106.04x = 158.86 × 54.61
  4. Step 4: Simplify right side
    106.04x = 8,675.02
  5. Step 5: Solve for x
    x = 8,675.02/106.04
  6. Step 6: Final answer
    x = 81.81

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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.