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Finding the Fourth Proportional to 63.09, 86.67 and 52.11

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Solution

The fourth proportional to 63.09, 86.67 and 52.11 is: 71.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.09 : 86.67 = 52.11 : x
  2. Step 2: Convert to fraction form
    63.09/86.67 = 52.11/x
  3. Step 3: Cross multiply
    63.09x = 86.67 × 52.11
  4. Step 4: Simplify right side
    63.09x = 4,516.37
  5. Step 5: Solve for x
    x = 4,516.37/63.09
  6. Step 6: Final answer
    x = 71.59

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.