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Finding the Fourth Proportional to 69.23, 95.49 and 54.47

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Solution

The fourth proportional to 69.23, 95.49 and 54.47 is: 75.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.23 : 95.49 = 54.47 : x
  2. Step 2: Convert to fraction form
    69.23/95.49 = 54.47/x
  3. Step 3: Cross multiply
    69.23x = 95.49 × 54.47
  4. Step 4: Simplify right side
    69.23x = 5,200.86
  5. Step 5: Solve for x
    x = 5,200.86/69.23
  6. Step 6: Final answer
    x = 75.13

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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.