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Finding the Fourth Proportional to 151.49, 209.04 and 85.99

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Solution

The fourth proportional to 151.49, 209.04 and 85.99 is: 118.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.49 : 209.04 = 85.99 : x
  2. Step 2: Convert to fraction form
    151.49/209.04 = 85.99/x
  3. Step 3: Cross multiply
    151.49x = 209.04 × 85.99
  4. Step 4: Simplify right side
    151.49x = 17,975.35
  5. Step 5: Solve for x
    x = 17,975.35/151.49
  6. Step 6: Final answer
    x = 118.66

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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.