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Finding the Fourth Proportional to 110.39, 152.07 and 91.64

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Solution

The fourth proportional to 110.39, 152.07 and 91.64 is: 126.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.39 : 152.07 = 91.64 : x
  2. Step 2: Convert to fraction form
    110.39/152.07 = 91.64/x
  3. Step 3: Cross multiply
    110.39x = 152.07 × 91.64
  4. Step 4: Simplify right side
    110.39x = 13,935.69
  5. Step 5: Solve for x
    x = 13,935.69/110.39
  6. Step 6: Final answer
    x = 126.24

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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.