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Finding the Fourth Proportional to 110.98, 167.25 and 100.16

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Solution

The fourth proportional to 110.98, 167.25 and 100.16 is: 150.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.98 : 167.25 = 100.16 : x
  2. Step 2: Convert to fraction form
    110.98/167.25 = 100.16/x
  3. Step 3: Cross multiply
    110.98x = 167.25 × 100.16
  4. Step 4: Simplify right side
    110.98x = 16,752.18
  5. Step 5: Solve for x
    x = 16,752.18/110.98
  6. Step 6: Final answer
    x = 150.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.