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Finding the Fourth Proportional to 68.17, 102.29 and 29.65

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Solution

The fourth proportional to 68.17, 102.29 and 29.65 is: 44.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.17 : 102.29 = 29.65 : x
  2. Step 2: Convert to fraction form
    68.17/102.29 = 29.65/x
  3. Step 3: Cross multiply
    68.17x = 102.29 × 29.65
  4. Step 4: Simplify right side
    68.17x = 3,032.24
  5. Step 5: Solve for x
    x = 3,032.24/68.17
  6. Step 6: Final answer
    x = 44.48

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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.