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Finding the Fourth Proportional to 48.39, 72.11 and 46.85

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Solution

The fourth proportional to 48.39, 72.11 and 46.85 is: 69.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.39 : 72.11 = 46.85 : x
  2. Step 2: Convert to fraction form
    48.39/72.11 = 46.85/x
  3. Step 3: Cross multiply
    48.39x = 72.11 × 46.85
  4. Step 4: Simplify right side
    48.39x = 3,378.06
  5. Step 5: Solve for x
    x = 3,378.06/48.39
  6. Step 6: Final answer
    x = 69.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.