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Finding the Fourth Proportional to 68, 102.06 and 41

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Solution

The fourth proportional to 68, 102.06 and 41 is: 61.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    68 : 102.06 = 41 : x
  2. Step 2: Convert to fraction form
    68/102.06 = 41/x
  3. Step 3: Cross multiply
    68x = 102.06 × 41
  4. Step 4: Simplify right side
    68x = 4,184.46
  5. Step 5: Solve for x
    x = 4,184.46/68
  6. Step 6: Final answer
    x = 61.54

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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.