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Finding the Fourth Proportional to 51.42, 70.96 and 31.75

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Solution

The fourth proportional to 51.42, 70.96 and 31.75 is: 43.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.42 : 70.96 = 31.75 : x
  2. Step 2: Convert to fraction form
    51.42/70.96 = 31.75/x
  3. Step 3: Cross multiply
    51.42x = 70.96 × 31.75
  4. Step 4: Simplify right side
    51.42x = 2,252.63
  5. Step 5: Solve for x
    x = 2,252.63/51.42
  6. Step 6: Final answer
    x = 43.81

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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.