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Finding the Fourth Proportional to 68.68, 102.29 and 65

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Solution

The fourth proportional to 68.68, 102.29 and 65 is: 96.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.68 : 102.29 = 65 : x
  2. Step 2: Convert to fraction form
    68.68/102.29 = 65/x
  3. Step 3: Cross multiply
    68.68x = 102.29 × 65
  4. Step 4: Simplify right side
    68.68x = 6,648.85
  5. Step 5: Solve for x
    x = 6,648.85/68.68
  6. Step 6: Final answer
    x = 96.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.