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Finding the Fourth Proportional to 86.56, 129.72 and 52.24

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Solution

The fourth proportional to 86.56, 129.72 and 52.24 is: 78.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.56 : 129.72 = 52.24 : x
  2. Step 2: Convert to fraction form
    86.56/129.72 = 52.24/x
  3. Step 3: Cross multiply
    86.56x = 129.72 × 52.24
  4. Step 4: Simplify right side
    86.56x = 6,776.57
  5. Step 5: Solve for x
    x = 6,776.57/86.56
  6. Step 6: Final answer
    x = 78.29

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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.