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Finding the Fourth Proportional to 151.59, 209.05 and 104.97

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Solution

The fourth proportional to 151.59, 209.05 and 104.97 is: 144.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.59 : 209.05 = 104.97 : x
  2. Step 2: Convert to fraction form
    151.59/209.05 = 104.97/x
  3. Step 3: Cross multiply
    151.59x = 209.05 × 104.97
  4. Step 4: Simplify right side
    151.59x = 21,943.98
  5. Step 5: Solve for x
    x = 21,943.98/151.59
  6. Step 6: Final answer
    x = 144.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.