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Finding the Fourth Proportional to 66.85, 100.35 and 41.20

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Solution

The fourth proportional to 66.85, 100.35 and 41.20 is: 61.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.85 : 100.35 = 41.20 : x
  2. Step 2: Convert to fraction form
    66.85/100.35 = 41.20/x
  3. Step 3: Cross multiply
    66.85x = 100.35 × 41.20
  4. Step 4: Simplify right side
    66.85x = 4,134.42
  5. Step 5: Solve for x
    x = 4,134.42/66.85
  6. Step 6: Final answer
    x = 61.85

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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.