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Finding the Fourth Proportional to 110.17, 151.79 and 106.12

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Solution

The fourth proportional to 110.17, 151.79 and 106.12 is: 146.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.17 : 151.79 = 106.12 : x
  2. Step 2: Convert to fraction form
    110.17/151.79 = 106.12/x
  3. Step 3: Cross multiply
    110.17x = 151.79 × 106.12
  4. Step 4: Simplify right side
    110.17x = 16,107.95
  5. Step 5: Solve for x
    x = 16,107.95/110.17
  6. Step 6: Final answer
    x = 146.21

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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.