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Finding the Fourth Proportional to 151.46, 209.00 and 85.96

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Solution

The fourth proportional to 151.46, 209.00 and 85.96 is: 118.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.46 : 209.00 = 85.96 : x
  2. Step 2: Convert to fraction form
    151.46/209.00 = 85.96/x
  3. Step 3: Cross multiply
    151.46x = 209.00 × 85.96
  4. Step 4: Simplify right side
    151.46x = 17,966.38
  5. Step 5: Solve for x
    x = 17,966.38/151.46
  6. Step 6: Final answer
    x = 118.62

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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.