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Finding the Fourth Proportional to 81.24, 122.40 and 73.53

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Solution

The fourth proportional to 81.24, 122.40 and 73.53 is: 110.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.24 : 122.40 = 73.53 : x
  2. Step 2: Convert to fraction form
    81.24/122.40 = 73.53/x
  3. Step 3: Cross multiply
    81.24x = 122.40 × 73.53
  4. Step 4: Simplify right side
    81.24x = 9,000.71
  5. Step 5: Solve for x
    x = 9,000.71/81.24
  6. Step 6: Final answer
    x = 110.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.