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Finding the Fourth Proportional to 110.64, 151.89 and 99.66

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Solution

The fourth proportional to 110.64, 151.89 and 99.66 is: 136.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.64 : 151.89 = 99.66 : x
  2. Step 2: Convert to fraction form
    110.64/151.89 = 99.66/x
  3. Step 3: Cross multiply
    110.64x = 151.89 × 99.66
  4. Step 4: Simplify right side
    110.64x = 15,137.36
  5. Step 5: Solve for x
    x = 15,137.36/110.64
  6. Step 6: Final answer
    x = 136.82

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.