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Finding the Fourth Proportional to 110.88, 166.42 and 98.02

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Solution

The fourth proportional to 110.88, 166.42 and 98.02 is: 147.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.88 : 166.42 = 98.02 : x
  2. Step 2: Convert to fraction form
    110.88/166.42 = 98.02/x
  3. Step 3: Cross multiply
    110.88x = 166.42 × 98.02
  4. Step 4: Simplify right side
    110.88x = 16,312.49
  5. Step 5: Solve for x
    x = 16,312.49/110.88
  6. Step 6: Final answer
    x = 147.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.