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Finding the Fourth Proportional to 68.42, 102.08 and 61.58

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Solution

The fourth proportional to 68.42, 102.08 and 61.58 is: 91.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.42 : 102.08 = 61.58 : x
  2. Step 2: Convert to fraction form
    68.42/102.08 = 61.58/x
  3. Step 3: Cross multiply
    68.42x = 102.08 × 61.58
  4. Step 4: Simplify right side
    68.42x = 6,286.09
  5. Step 5: Solve for x
    x = 6,286.09/68.42
  6. Step 6: Final answer
    x = 91.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.