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Finding the Fourth Proportional to 82.16, 123.84 and 68

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Solution

The fourth proportional to 82.16, 123.84 and 68 is: 102.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.16 : 123.84 = 68 : x
  2. Step 2: Convert to fraction form
    82.16/123.84 = 68/x
  3. Step 3: Cross multiply
    82.16x = 123.84 × 68
  4. Step 4: Simplify right side
    82.16x = 8,421.12
  5. Step 5: Solve for x
    x = 8,421.12/82.16
  6. Step 6: Final answer
    x = 102.50

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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.