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Finding the Fourth Proportional to 80.42, 111.02 and 49.35

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Solution

The fourth proportional to 80.42, 111.02 and 49.35 is: 68.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.42 : 111.02 = 49.35 : x
  2. Step 2: Convert to fraction form
    80.42/111.02 = 49.35/x
  3. Step 3: Cross multiply
    80.42x = 111.02 × 49.35
  4. Step 4: Simplify right side
    80.42x = 5,478.41
  5. Step 5: Solve for x
    x = 5,478.41/80.42
  6. Step 6: Final answer
    x = 68.12

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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.