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Finding the Fourth Proportional to 68.06, 102.02 and 41.02

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Solution

The fourth proportional to 68.06, 102.02 and 41.02 is: 61.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.06 : 102.02 = 41.02 : x
  2. Step 2: Convert to fraction form
    68.06/102.02 = 41.02/x
  3. Step 3: Cross multiply
    68.06x = 102.02 × 41.02
  4. Step 4: Simplify right side
    68.06x = 4,184.86
  5. Step 5: Solve for x
    x = 4,184.86/68.06
  6. Step 6: Final answer
    x = 61.49

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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.