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Finding the Fourth Proportional to 45.05, 62.45 and 41

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Solution

The fourth proportional to 45.05, 62.45 and 41 is: 56.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.05 : 62.45 = 41 : x
  2. Step 2: Convert to fraction form
    45.05/62.45 = 41/x
  3. Step 3: Cross multiply
    45.05x = 62.45 × 41
  4. Step 4: Simplify right side
    45.05x = 2,560.45
  5. Step 5: Solve for x
    x = 2,560.45/45.05
  6. Step 6: Final answer
    x = 56.84

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.