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Finding the Fourth Proportional to 104.16, 144.52 and 99.74

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Solution

The fourth proportional to 104.16, 144.52 and 99.74 is: 138.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.16 : 144.52 = 99.74 : x
  2. Step 2: Convert to fraction form
    104.16/144.52 = 99.74/x
  3. Step 3: Cross multiply
    104.16x = 144.52 × 99.74
  4. Step 4: Simplify right side
    104.16x = 14,414.42
  5. Step 5: Solve for x
    x = 14,414.42/104.16
  6. Step 6: Final answer
    x = 138.39

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.