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Finding the Fourth Proportional to 48.34, 67.17 and 47.85

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Solution

The fourth proportional to 48.34, 67.17 and 47.85 is: 66.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.34 : 67.17 = 47.85 : x
  2. Step 2: Convert to fraction form
    48.34/67.17 = 47.85/x
  3. Step 3: Cross multiply
    48.34x = 67.17 × 47.85
  4. Step 4: Simplify right side
    48.34x = 3,214.08
  5. Step 5: Solve for x
    x = 3,214.08/48.34
  6. Step 6: Final answer
    x = 66.49

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.