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Finding the Fourth Proportional to 69.10, 95.28 and 52.76

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Solution

The fourth proportional to 69.10, 95.28 and 52.76 is: 72.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.10 : 95.28 = 52.76 : x
  2. Step 2: Convert to fraction form
    69.10/95.28 = 52.76/x
  3. Step 3: Cross multiply
    69.10x = 95.28 × 52.76
  4. Step 4: Simplify right side
    69.10x = 5,026.97
  5. Step 5: Solve for x
    x = 5,026.97/69.10
  6. Step 6: Final answer
    x = 72.75

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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.