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Finding the Fourth Proportional to 68, 102.02 and 27.40

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Solution

The fourth proportional to 68, 102.02 and 27.40 is: 41.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    68 : 102.02 = 27.40 : x
  2. Step 2: Convert to fraction form
    68/102.02 = 27.40/x
  3. Step 3: Cross multiply
    68x = 102.02 × 27.40
  4. Step 4: Simplify right side
    68x = 2,794.70
  5. Step 5: Solve for x
    x = 2,794.70/68
  6. Step 6: Final answer
    x = 41.10

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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.