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Finding the Fourth Proportional to 87.83, 131.71 and 49.36

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Solution

The fourth proportional to 87.83, 131.71 and 49.36 is: 74.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.83 : 131.71 = 49.36 : x
  2. Step 2: Convert to fraction form
    87.83/131.71 = 49.36/x
  3. Step 3: Cross multiply
    87.83x = 131.71 × 49.36
  4. Step 4: Simplify right side
    87.83x = 6,501.21
  5. Step 5: Solve for x
    x = 6,501.21/87.83
  6. Step 6: Final answer
    x = 74.02

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