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Finding the Fourth Proportional to 51.28, 70.76 and 31.88

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Solution

The fourth proportional to 51.28, 70.76 and 31.88 is: 43.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.28 : 70.76 = 31.88 : x
  2. Step 2: Convert to fraction form
    51.28/70.76 = 31.88/x
  3. Step 3: Cross multiply
    51.28x = 70.76 × 31.88
  4. Step 4: Simplify right side
    51.28x = 2,255.83
  5. Step 5: Solve for x
    x = 2,255.83/51.28
  6. Step 6: Final answer
    x = 43.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.