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Finding the Fourth Proportional to 77.66, 116.43 and 31.34

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Solution

The fourth proportional to 77.66, 116.43 and 31.34 is: 46.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.66 : 116.43 = 31.34 : x
  2. Step 2: Convert to fraction form
    77.66/116.43 = 31.34/x
  3. Step 3: Cross multiply
    77.66x = 116.43 × 31.34
  4. Step 4: Simplify right side
    77.66x = 3,648.33
  5. Step 5: Solve for x
    x = 3,648.33/77.66
  6. Step 6: Final answer
    x = 46.98

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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.