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Finding the Fourth Proportional to 82.06, 113.16 and 69.76

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Solution

The fourth proportional to 82.06, 113.16 and 69.76 is: 96.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.06 : 113.16 = 69.76 : x
  2. Step 2: Convert to fraction form
    82.06/113.16 = 69.76/x
  3. Step 3: Cross multiply
    82.06x = 113.16 × 69.76
  4. Step 4: Simplify right side
    82.06x = 7,894.04
  5. Step 5: Solve for x
    x = 7,894.04/82.06
  6. Step 6: Final answer
    x = 96.20

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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.