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Finding the Fourth Proportional to 48.82, 73.05 and 31.56

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Solution

The fourth proportional to 48.82, 73.05 and 31.56 is: 47.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.82 : 73.05 = 31.56 : x
  2. Step 2: Convert to fraction form
    48.82/73.05 = 31.56/x
  3. Step 3: Cross multiply
    48.82x = 73.05 × 31.56
  4. Step 4: Simplify right side
    48.82x = 2,305.46
  5. Step 5: Solve for x
    x = 2,305.46/48.82
  6. Step 6: Final answer
    x = 47.22

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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.