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Finding the Fourth Proportional to 81.72, 121.59 and 81.46

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Solution

The fourth proportional to 81.72, 121.59 and 81.46 is: 121.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.72 : 121.59 = 81.46 : x
  2. Step 2: Convert to fraction form
    81.72/121.59 = 81.46/x
  3. Step 3: Cross multiply
    81.72x = 121.59 × 81.46
  4. Step 4: Simplify right side
    81.72x = 9,904.72
  5. Step 5: Solve for x
    x = 9,904.72/81.72
  6. Step 6: Final answer
    x = 121.20

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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.