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Finding the Fourth Proportional to 80.02, 110.42 and 46.82

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Solution

The fourth proportional to 80.02, 110.42 and 46.82 is: 64.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.02 : 110.42 = 46.82 : x
  2. Step 2: Convert to fraction form
    80.02/110.42 = 46.82/x
  3. Step 3: Cross multiply
    80.02x = 110.42 × 46.82
  4. Step 4: Simplify right side
    80.02x = 5,169.86
  5. Step 5: Solve for x
    x = 5,169.86/80.02
  6. Step 6: Final answer
    x = 64.61

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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.