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Finding the Fourth Proportional to 63.99, 96.08 and 54.95

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Solution

The fourth proportional to 63.99, 96.08 and 54.95 is: 82.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.99 : 96.08 = 54.95 : x
  2. Step 2: Convert to fraction form
    63.99/96.08 = 54.95/x
  3. Step 3: Cross multiply
    63.99x = 96.08 × 54.95
  4. Step 4: Simplify right side
    63.99x = 5,278.84
  5. Step 5: Solve for x
    x = 5,278.84/63.99
  6. Step 6: Final answer
    x = 82.49

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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.