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Finding the Fourth Proportional to 73.96, 111.02 and 55.08

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Solution

The fourth proportional to 73.96, 111.02 and 55.08 is: 82.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.96 : 111.02 = 55.08 : x
  2. Step 2: Convert to fraction form
    73.96/111.02 = 55.08/x
  3. Step 3: Cross multiply
    73.96x = 111.02 × 55.08
  4. Step 4: Simplify right side
    73.96x = 6,114.98
  5. Step 5: Solve for x
    x = 6,114.98/73.96
  6. Step 6: Final answer
    x = 82.68

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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.