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Finding the Fourth Proportional to 71.15, 106.41 and 54.04

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Solution

The fourth proportional to 71.15, 106.41 and 54.04 is: 80.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.15 : 106.41 = 54.04 : x
  2. Step 2: Convert to fraction form
    71.15/106.41 = 54.04/x
  3. Step 3: Cross multiply
    71.15x = 106.41 × 54.04
  4. Step 4: Simplify right side
    71.15x = 5,750.40
  5. Step 5: Solve for x
    x = 5,750.40/71.15
  6. Step 6: Final answer
    x = 80.82

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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.