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Finding the Fourth Proportional to 82.16, 113.24 and 65.84

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Solution

The fourth proportional to 82.16, 113.24 and 65.84 is: 90.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.16 : 113.24 = 65.84 : x
  2. Step 2: Convert to fraction form
    82.16/113.24 = 65.84/x
  3. Step 3: Cross multiply
    82.16x = 113.24 × 65.84
  4. Step 4: Simplify right side
    82.16x = 7,455.72
  5. Step 5: Solve for x
    x = 7,455.72/82.16
  6. Step 6: Final answer
    x = 90.75

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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.