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Finding the Fourth Proportional to 71.12, 98.13 and 41.20

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Solution

The fourth proportional to 71.12, 98.13 and 41.20 is: 56.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.12 : 98.13 = 41.20 : x
  2. Step 2: Convert to fraction form
    71.12/98.13 = 41.20/x
  3. Step 3: Cross multiply
    71.12x = 98.13 × 41.20
  4. Step 4: Simplify right side
    71.12x = 4,042.87
  5. Step 5: Solve for x
    x = 4,042.87/71.12
  6. Step 6: Final answer
    x = 56.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.