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Finding the Fourth Proportional to 41.45, 62.10 and 34.70

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Solution

The fourth proportional to 41.45, 62.10 and 34.70 is: 51.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.45 : 62.10 = 34.70 : x
  2. Step 2: Convert to fraction form
    41.45/62.10 = 34.70/x
  3. Step 3: Cross multiply
    41.45x = 62.10 × 34.70
  4. Step 4: Simplify right side
    41.45x = 2,154.56
  5. Step 5: Solve for x
    x = 2,154.56/41.45
  6. Step 6: Final answer
    x = 51.99

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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.