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Finding the Fourth Proportional to 151.84, 209.49 and 93.65

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Solution

The fourth proportional to 151.84, 209.49 and 93.65 is: 129.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.84 : 209.49 = 93.65 : x
  2. Step 2: Convert to fraction form
    151.84/209.49 = 93.65/x
  3. Step 3: Cross multiply
    151.84x = 209.49 × 93.65
  4. Step 4: Simplify right side
    151.84x = 19,618.74
  5. Step 5: Solve for x
    x = 19,618.74/151.84
  6. Step 6: Final answer
    x = 129.21

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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.