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Finding the Fourth Proportional to 110.43, 152.45 and 71.64

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Solution

The fourth proportional to 110.43, 152.45 and 71.64 is: 98.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.43 : 152.45 = 71.64 : x
  2. Step 2: Convert to fraction form
    110.43/152.45 = 71.64/x
  3. Step 3: Cross multiply
    110.43x = 152.45 × 71.64
  4. Step 4: Simplify right side
    110.43x = 10,921.16
  5. Step 5: Solve for x
    x = 10,921.16/110.43
  6. Step 6: Final answer
    x = 98.90

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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.