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Finding the Fourth Proportional to 82.84, 124.36 and 65.92

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Solution

The fourth proportional to 82.84, 124.36 and 65.92 is: 98.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.84 : 124.36 = 65.92 : x
  2. Step 2: Convert to fraction form
    82.84/124.36 = 65.92/x
  3. Step 3: Cross multiply
    82.84x = 124.36 × 65.92
  4. Step 4: Simplify right side
    82.84x = 8,197.81
  5. Step 5: Solve for x
    x = 8,197.81/82.84
  6. Step 6: Final answer
    x = 98.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.