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Finding the Fourth Proportional to 81.56, 121.74 and 73.46

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Solution

The fourth proportional to 81.56, 121.74 and 73.46 is: 109.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.56 : 121.74 = 73.46 : x
  2. Step 2: Convert to fraction form
    81.56/121.74 = 73.46/x
  3. Step 3: Cross multiply
    81.56x = 121.74 × 73.46
  4. Step 4: Simplify right side
    81.56x = 8,943.02
  5. Step 5: Solve for x
    x = 8,943.02/81.56
  6. Step 6: Final answer
    x = 109.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.