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Finding the Fourth Proportional to 69.24, 95.68 and 48.54

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Solution

The fourth proportional to 69.24, 95.68 and 48.54 is: 67.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.24 : 95.68 = 48.54 : x
  2. Step 2: Convert to fraction form
    69.24/95.68 = 48.54/x
  3. Step 3: Cross multiply
    69.24x = 95.68 × 48.54
  4. Step 4: Simplify right side
    69.24x = 4,644.31
  5. Step 5: Solve for x
    x = 4,644.31/69.24
  6. Step 6: Final answer
    x = 67.08

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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.