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Finding the Fourth Proportional to 45.25, 62.42 and 29.70

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Solution

The fourth proportional to 45.25, 62.42 and 29.70 is: 40.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.25 : 62.42 = 29.70 : x
  2. Step 2: Convert to fraction form
    45.25/62.42 = 29.70/x
  3. Step 3: Cross multiply
    45.25x = 62.42 × 29.70
  4. Step 4: Simplify right side
    45.25x = 1,853.87
  5. Step 5: Solve for x
    x = 1,853.87/45.25
  6. Step 6: Final answer
    x = 40.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.