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Finding the Fourth Proportional to 49.05, 73.47 and 31.92

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Solution

The fourth proportional to 49.05, 73.47 and 31.92 is: 47.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.05 : 73.47 = 31.92 : x
  2. Step 2: Convert to fraction form
    49.05/73.47 = 31.92/x
  3. Step 3: Cross multiply
    49.05x = 73.47 × 31.92
  4. Step 4: Simplify right side
    49.05x = 2,345.16
  5. Step 5: Solve for x
    x = 2,345.16/49.05
  6. Step 6: Final answer
    x = 47.81

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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.