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Finding the Fourth Proportional to 42.75, 59.00 and 31.82

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Solution

The fourth proportional to 42.75, 59.00 and 31.82 is: 43.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.75 : 59.00 = 31.82 : x
  2. Step 2: Convert to fraction form
    42.75/59.00 = 31.82/x
  3. Step 3: Cross multiply
    42.75x = 59.00 × 31.82
  4. Step 4: Simplify right side
    42.75x = 1,877.36
  5. Step 5: Solve for x
    x = 1,877.36/42.75
  6. Step 6: Final answer
    x = 43.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.