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Finding the Fourth Proportional to 81.65, 122.34 and 55.88

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Solution

The fourth proportional to 81.65, 122.34 and 55.88 is: 83.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.65 : 122.34 = 55.88 : x
  2. Step 2: Convert to fraction form
    81.65/122.34 = 55.88/x
  3. Step 3: Cross multiply
    81.65x = 122.34 × 55.88
  4. Step 4: Simplify right side
    81.65x = 6,835.47
  5. Step 5: Solve for x
    x = 6,835.47/81.65
  6. Step 6: Final answer
    x = 83.72

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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.