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Finding the Fourth Proportional to 42.24, 63.41 and 27.80

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Solution

The fourth proportional to 42.24, 63.41 and 27.80 is: 41.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.24 : 63.41 = 27.80 : x
  2. Step 2: Convert to fraction form
    42.24/63.41 = 27.80/x
  3. Step 3: Cross multiply
    42.24x = 63.41 × 27.80
  4. Step 4: Simplify right side
    42.24x = 1,762.34
  5. Step 5: Solve for x
    x = 1,762.34/42.24
  6. Step 6: Final answer
    x = 41.72

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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.