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Finding the Fourth Proportional to 151.75, 209.48 and 93.57

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Solution

The fourth proportional to 151.75, 209.48 and 93.57 is: 129.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.75 : 209.48 = 93.57 : x
  2. Step 2: Convert to fraction form
    151.75/209.48 = 93.57/x
  3. Step 3: Cross multiply
    151.75x = 209.48 × 93.57
  4. Step 4: Simplify right side
    151.75x = 19,601.04
  5. Step 5: Solve for x
    x = 19,601.04/151.75
  6. Step 6: Final answer
    x = 129.17

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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.