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Finding the Fourth Proportional to 31.72, 47.48 and 22.56

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Solution

The fourth proportional to 31.72, 47.48 and 22.56 is: 33.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.72 : 47.48 = 22.56 : x
  2. Step 2: Convert to fraction form
    31.72/47.48 = 22.56/x
  3. Step 3: Cross multiply
    31.72x = 47.48 × 22.56
  4. Step 4: Simplify right side
    31.72x = 1,071.15
  5. Step 5: Solve for x
    x = 1,071.15/31.72
  6. Step 6: Final answer
    x = 33.77

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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.