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Finding the Fourth Proportional to 77.42, 116.10 and 31.74

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Solution

The fourth proportional to 77.42, 116.10 and 31.74 is: 47.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.42 : 116.10 = 31.74 : x
  2. Step 2: Convert to fraction form
    77.42/116.10 = 31.74/x
  3. Step 3: Cross multiply
    77.42x = 116.10 × 31.74
  4. Step 4: Simplify right side
    77.42x = 3,684.27
  5. Step 5: Solve for x
    x = 3,684.27/77.42
  6. Step 6: Final answer
    x = 47.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.