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Finding the Fourth Proportional to 87.74, 131.64 and 47.10

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Solution

The fourth proportional to 87.74, 131.64 and 47.10 is: 70.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.74 : 131.64 = 47.10 : x
  2. Step 2: Convert to fraction form
    87.74/131.64 = 47.10/x
  3. Step 3: Cross multiply
    87.74x = 131.64 × 47.10
  4. Step 4: Simplify right side
    87.74x = 6,200.24
  5. Step 5: Solve for x
    x = 6,200.24/87.74
  6. Step 6: Final answer
    x = 70.67

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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.