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Finding the Fourth Proportional to 108.01, 148.96 and 99.30

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Solution

The fourth proportional to 108.01, 148.96 and 99.30 is: 136.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.01 : 148.96 = 99.30 : x
  2. Step 2: Convert to fraction form
    108.01/148.96 = 99.30/x
  3. Step 3: Cross multiply
    108.01x = 148.96 × 99.30
  4. Step 4: Simplify right side
    108.01x = 14,791.73
  5. Step 5: Solve for x
    x = 14,791.73/108.01
  6. Step 6: Final answer
    x = 136.95

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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.