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Finding the Fourth Proportional to 81.12, 122.16 and 70.56

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Solution

The fourth proportional to 81.12, 122.16 and 70.56 is: 106.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.12 : 122.16 = 70.56 : x
  2. Step 2: Convert to fraction form
    81.12/122.16 = 70.56/x
  3. Step 3: Cross multiply
    81.12x = 122.16 × 70.56
  4. Step 4: Simplify right side
    81.12x = 8,619.61
  5. Step 5: Solve for x
    x = 8,619.61/81.12
  6. Step 6: Final answer
    x = 106.26

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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.