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Finding the Fourth Proportional to 87.45, 131.19 and 46.83

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Solution

The fourth proportional to 87.45, 131.19 and 46.83 is: 70.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.45 : 131.19 = 46.83 : x
  2. Step 2: Convert to fraction form
    87.45/131.19 = 46.83/x
  3. Step 3: Cross multiply
    87.45x = 131.19 × 46.83
  4. Step 4: Simplify right side
    87.45x = 6,143.63
  5. Step 5: Solve for x
    x = 6,143.63/87.45
  6. Step 6: Final answer
    x = 70.25

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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.