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Finding the Fourth Proportional to 69.24, 95.52 and 54.60

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Solution

The fourth proportional to 69.24, 95.52 and 54.60 is: 75.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.24 : 95.52 = 54.60 : x
  2. Step 2: Convert to fraction form
    69.24/95.52 = 54.60/x
  3. Step 3: Cross multiply
    69.24x = 95.52 × 54.60
  4. Step 4: Simplify right side
    69.24x = 5,215.39
  5. Step 5: Solve for x
    x = 5,215.39/69.24
  6. Step 6: Final answer
    x = 75.32

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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.