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Finding the Fourth Proportional to 51.43, 70.99 and 31.76

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Solution

The fourth proportional to 51.43, 70.99 and 31.76 is: 43.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.43 : 70.99 = 31.76 : x
  2. Step 2: Convert to fraction form
    51.43/70.99 = 31.76/x
  3. Step 3: Cross multiply
    51.43x = 70.99 × 31.76
  4. Step 4: Simplify right side
    51.43x = 2,254.13
  5. Step 5: Solve for x
    x = 2,254.13/51.43
  6. Step 6: Final answer
    x = 43.83

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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.