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Finding the Fourth Proportional to 63.85, 96.13 and 59.80

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Solution

The fourth proportional to 63.85, 96.13 and 59.80 is: 90.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.85 : 96.13 = 59.80 : x
  2. Step 2: Convert to fraction form
    63.85/96.13 = 59.80/x
  3. Step 3: Cross multiply
    63.85x = 96.13 × 59.80
  4. Step 4: Simplify right side
    63.85x = 5,748.57
  5. Step 5: Solve for x
    x = 5,748.57/63.85
  6. Step 6: Final answer
    x = 90.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.