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Finding the Fourth Proportional to 42.75, 64.05 and 27.50

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Solution

The fourth proportional to 42.75, 64.05 and 27.50 is: 41.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.75 : 64.05 = 27.50 : x
  2. Step 2: Convert to fraction form
    42.75/64.05 = 27.50/x
  3. Step 3: Cross multiply
    42.75x = 64.05 × 27.50
  4. Step 4: Simplify right side
    42.75x = 1,761.05
  5. Step 5: Solve for x
    x = 1,761.05/42.75
  6. Step 6: Final answer
    x = 41.19

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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.