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Finding the Fourth Proportional to 45.48, 62.78 and 31.71

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Solution

The fourth proportional to 45.48, 62.78 and 31.71 is: 43.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.48 : 62.78 = 31.71 : x
  2. Step 2: Convert to fraction form
    45.48/62.78 = 31.71/x
  3. Step 3: Cross multiply
    45.48x = 62.78 × 31.71
  4. Step 4: Simplify right side
    45.48x = 1,990.48
  5. Step 5: Solve for x
    x = 1,990.48/45.48
  6. Step 6: Final answer
    x = 43.77

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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.