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Finding the Fourth Proportional to 42.10, 62.75 and 41.80

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Solution

The fourth proportional to 42.10, 62.75 and 41.80 is: 62.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.10 : 62.75 = 41.80 : x
  2. Step 2: Convert to fraction form
    42.10/62.75 = 41.80/x
  3. Step 3: Cross multiply
    42.10x = 62.75 × 41.80
  4. Step 4: Simplify right side
    42.10x = 2,622.95
  5. Step 5: Solve for x
    x = 2,622.95/42.10
  6. Step 6: Final answer
    x = 62.30

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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.