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Finding the Fourth Proportional to 51.16, 70.56 and 31.74

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Solution

The fourth proportional to 51.16, 70.56 and 31.74 is: 43.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.16 : 70.56 = 31.74 : x
  2. Step 2: Convert to fraction form
    51.16/70.56 = 31.74/x
  3. Step 3: Cross multiply
    51.16x = 70.56 × 31.74
  4. Step 4: Simplify right side
    51.16x = 2,239.57
  5. Step 5: Solve for x
    x = 2,239.57/51.16
  6. Step 6: Final answer
    x = 43.78

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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.