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Finding the Fourth Proportional to 42.76, 59.03 and 28.03

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Solution

The fourth proportional to 42.76, 59.03 and 28.03 is: 38.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.76 : 59.03 = 28.03 : x
  2. Step 2: Convert to fraction form
    42.76/59.03 = 28.03/x
  3. Step 3: Cross multiply
    42.76x = 59.03 × 28.03
  4. Step 4: Simplify right side
    42.76x = 1,654.54
  5. Step 5: Solve for x
    x = 1,654.54/42.76
  6. Step 6: Final answer
    x = 38.69

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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.