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Finding the Fourth Proportional to 69.57, 95.85 and 53.19

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Solution

The fourth proportional to 69.57, 95.85 and 53.19 is: 73.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.57 : 95.85 = 53.19 : x
  2. Step 2: Convert to fraction form
    69.57/95.85 = 53.19/x
  3. Step 3: Cross multiply
    69.57x = 95.85 × 53.19
  4. Step 4: Simplify right side
    69.57x = 5,098.26
  5. Step 5: Solve for x
    x = 5,098.26/69.57
  6. Step 6: Final answer
    x = 73.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.