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Finding the Fourth Proportional to 87.50, 131.15 and 46.91

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Solution

The fourth proportional to 87.50, 131.15 and 46.91 is: 70.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.50 : 131.15 = 46.91 : x
  2. Step 2: Convert to fraction form
    87.50/131.15 = 46.91/x
  3. Step 3: Cross multiply
    87.50x = 131.15 × 46.91
  4. Step 4: Simplify right side
    87.50x = 6,152.25
  5. Step 5: Solve for x
    x = 6,152.25/87.50
  6. Step 6: Final answer
    x = 70.31

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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.