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Finding the Fourth Proportional to 68.29, 102.44 and 57.67

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Solution

The fourth proportional to 68.29, 102.44 and 57.67 is: 86.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.29 : 102.44 = 57.67 : x
  2. Step 2: Convert to fraction form
    68.29/102.44 = 57.67/x
  3. Step 3: Cross multiply
    68.29x = 102.44 × 57.67
  4. Step 4: Simplify right side
    68.29x = 5,907.71
  5. Step 5: Solve for x
    x = 5,907.71/68.29
  6. Step 6: Final answer
    x = 86.51

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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.