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Finding the Fourth Proportional to 51.34, 70.84 and 31.68

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Solution

The fourth proportional to 51.34, 70.84 and 31.68 is: 43.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.34 : 70.84 = 31.68 : x
  2. Step 2: Convert to fraction form
    51.34/70.84 = 31.68/x
  3. Step 3: Cross multiply
    51.34x = 70.84 × 31.68
  4. Step 4: Simplify right side
    51.34x = 2,244.21
  5. Step 5: Solve for x
    x = 2,244.21/51.34
  6. Step 6: Final answer
    x = 43.71

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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.