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Finding the Fourth Proportional to 31.96, 44.08 and 23.76

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Solution

The fourth proportional to 31.96, 44.08 and 23.76 is: 32.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.96 : 44.08 = 23.76 : x
  2. Step 2: Convert to fraction form
    31.96/44.08 = 23.76/x
  3. Step 3: Cross multiply
    31.96x = 44.08 × 23.76
  4. Step 4: Simplify right side
    31.96x = 1,047.28
  5. Step 5: Solve for x
    x = 1,047.28/31.96
  6. Step 6: Final answer
    x = 32.77

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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.