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Finding the Fourth Proportional to 45.39, 68.08 and 41.14

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Solution

The fourth proportional to 45.39, 68.08 and 41.14 is: 61.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.39 : 68.08 = 41.14 : x
  2. Step 2: Convert to fraction form
    45.39/68.08 = 41.14/x
  3. Step 3: Cross multiply
    45.39x = 68.08 × 41.14
  4. Step 4: Simplify right side
    45.39x = 2,800.81
  5. Step 5: Solve for x
    x = 2,800.81/45.39
  6. Step 6: Final answer
    x = 61.71

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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.