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Finding the Fourth Proportional to 49.39, 74.10 and 31.37

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Solution

The fourth proportional to 49.39, 74.10 and 31.37 is: 47.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.39 : 74.10 = 31.37 : x
  2. Step 2: Convert to fraction form
    49.39/74.10 = 31.37/x
  3. Step 3: Cross multiply
    49.39x = 74.10 × 31.37
  4. Step 4: Simplify right side
    49.39x = 2,324.52
  5. Step 5: Solve for x
    x = 2,324.52/49.39
  6. Step 6: Final answer
    x = 47.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.