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Finding the Fourth Proportional to 99.69, 148.68 and 97.66

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Solution

The fourth proportional to 99.69, 148.68 and 97.66 is: 145.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.69 : 148.68 = 97.66 : x
  2. Step 2: Convert to fraction form
    99.69/148.68 = 97.66/x
  3. Step 3: Cross multiply
    99.69x = 148.68 × 97.66
  4. Step 4: Simplify right side
    99.69x = 14,520.09
  5. Step 5: Solve for x
    x = 14,520.09/99.69
  6. Step 6: Final answer
    x = 145.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.