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Finding the Fourth Proportional to 69.57, 95.99 and 48.83

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Solution

The fourth proportional to 69.57, 95.99 and 48.83 is: 67.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.57 : 95.99 = 48.83 : x
  2. Step 2: Convert to fraction form
    69.57/95.99 = 48.83/x
  3. Step 3: Cross multiply
    69.57x = 95.99 × 48.83
  4. Step 4: Simplify right side
    69.57x = 4,686.47
  5. Step 5: Solve for x
    x = 4,686.47/69.57
  6. Step 6: Final answer
    x = 67.36

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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.