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Finding the Fourth Proportional to 96.50, 133.15 and 55.04

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Solution

The fourth proportional to 96.50, 133.15 and 55.04 is: 75.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.50 : 133.15 = 55.04 : x
  2. Step 2: Convert to fraction form
    96.50/133.15 = 55.04/x
  3. Step 3: Cross multiply
    96.50x = 133.15 × 55.04
  4. Step 4: Simplify right side
    96.50x = 7,328.60
  5. Step 5: Solve for x
    x = 7,328.60/96.50
  6. Step 6: Final answer
    x = 75.95

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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.