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Finding the Fourth Proportional to 71.44, 107.15 and 40.91

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Solution

The fourth proportional to 71.44, 107.15 and 40.91 is: 61.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.44 : 107.15 = 40.91 : x
  2. Step 2: Convert to fraction form
    71.44/107.15 = 40.91/x
  3. Step 3: Cross multiply
    71.44x = 107.15 × 40.91
  4. Step 4: Simplify right side
    71.44x = 4,382.77
  5. Step 5: Solve for x
    x = 4,382.77/71.44
  6. Step 6: Final answer
    x = 61.35

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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.