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Finding the Fourth Proportional to 45.72, 63.11 and 31.91

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Solution

The fourth proportional to 45.72, 63.11 and 31.91 is: 44.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.72 : 63.11 = 31.91 : x
  2. Step 2: Convert to fraction form
    45.72/63.11 = 31.91/x
  3. Step 3: Cross multiply
    45.72x = 63.11 × 31.91
  4. Step 4: Simplify right side
    45.72x = 2,013.84
  5. Step 5: Solve for x
    x = 2,013.84/45.72
  6. Step 6: Final answer
    x = 44.05

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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.