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Finding the Fourth Proportional to 112.26, 169.01 and 102.69

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Solution

The fourth proportional to 112.26, 169.01 and 102.69 is: 154.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.26 : 169.01 = 102.69 : x
  2. Step 2: Convert to fraction form
    112.26/169.01 = 102.69/x
  3. Step 3: Cross multiply
    112.26x = 169.01 × 102.69
  4. Step 4: Simplify right side
    112.26x = 17,355.12
  5. Step 5: Solve for x
    x = 17,355.12/112.26
  6. Step 6: Final answer
    x = 154.60

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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.