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Finding the Fourth Proportional to 77.67, 116.46 and 32.00

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Solution

The fourth proportional to 77.67, 116.46 and 32.00 is: 47.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.67 : 116.46 = 32.00 : x
  2. Step 2: Convert to fraction form
    77.67/116.46 = 32.00/x
  3. Step 3: Cross multiply
    77.67x = 116.46 × 32.00
  4. Step 4: Simplify right side
    77.67x = 3,726.14
  5. Step 5: Solve for x
    x = 3,726.14/77.67
  6. Step 6: Final answer
    x = 47.97

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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.