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Finding the Fourth Proportional to 82.22, 113.20 and 69.91

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Solution

The fourth proportional to 82.22, 113.20 and 69.91 is: 96.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.22 : 113.20 = 69.91 : x
  2. Step 2: Convert to fraction form
    82.22/113.20 = 69.91/x
  3. Step 3: Cross multiply
    82.22x = 113.20 × 69.91
  4. Step 4: Simplify right side
    82.22x = 7,913.81
  5. Step 5: Solve for x
    x = 7,913.81/82.22
  6. Step 6: Final answer
    x = 96.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.