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Finding the Fourth Proportional to 48.42, 66.85 and 31.85

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Solution

The fourth proportional to 48.42, 66.85 and 31.85 is: 43.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.42 : 66.85 = 31.85 : x
  2. Step 2: Convert to fraction form
    48.42/66.85 = 31.85/x
  3. Step 3: Cross multiply
    48.42x = 66.85 × 31.85
  4. Step 4: Simplify right side
    48.42x = 2,128.85
  5. Step 5: Solve for x
    x = 2,128.85/48.42
  6. Step 6: Final answer
    x = 43.97

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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.