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Finding the Fourth Proportional to 151.31, 208.85 and 104.12

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Solution

The fourth proportional to 151.31, 208.85 and 104.12 is: 143.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.31 : 208.85 = 104.12 : x
  2. Step 2: Convert to fraction form
    151.31/208.85 = 104.12/x
  3. Step 3: Cross multiply
    151.31x = 208.85 × 104.12
  4. Step 4: Simplify right side
    151.31x = 21,743.90
  5. Step 5: Solve for x
    x = 21,743.90/151.31
  6. Step 6: Final answer
    x = 143.70

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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.