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Finding the Fourth Proportional to 68.10, 102.14 and 29.61

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Solution

The fourth proportional to 68.10, 102.14 and 29.61 is: 44.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.10 : 102.14 = 29.61 : x
  2. Step 2: Convert to fraction form
    68.10/102.14 = 29.61/x
  3. Step 3: Cross multiply
    68.10x = 102.14 × 29.61
  4. Step 4: Simplify right side
    68.10x = 3,024.22
  5. Step 5: Solve for x
    x = 3,024.22/68.10
  6. Step 6: Final answer
    x = 44.41

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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.