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Finding the Fourth Proportional to 69.09, 103.50 and 52.86

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Solution

The fourth proportional to 69.09, 103.50 and 52.86 is: 79.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.09 : 103.50 = 52.86 : x
  2. Step 2: Convert to fraction form
    69.09/103.50 = 52.86/x
  3. Step 3: Cross multiply
    69.09x = 103.50 × 52.86
  4. Step 4: Simplify right side
    69.09x = 5,471.01
  5. Step 5: Solve for x
    x = 5,471.01/69.09
  6. Step 6: Final answer
    x = 79.19

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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.