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Finding the Fourth Proportional to 87.09, 130.68 and 46.54

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Solution

The fourth proportional to 87.09, 130.68 and 46.54 is: 69.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.09 : 130.68 = 46.54 : x
  2. Step 2: Convert to fraction form
    87.09/130.68 = 46.54/x
  3. Step 3: Cross multiply
    87.09x = 130.68 × 46.54
  4. Step 4: Simplify right side
    87.09x = 6,081.85
  5. Step 5: Solve for x
    x = 6,081.85/87.09
  6. Step 6: Final answer
    x = 69.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.