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Finding the Fourth Proportional to 42.67, 58.88 and 28.13

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Solution

The fourth proportional to 42.67, 58.88 and 28.13 is: 38.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.67 : 58.88 = 28.13 : x
  2. Step 2: Convert to fraction form
    42.67/58.88 = 28.13/x
  3. Step 3: Cross multiply
    42.67x = 58.88 × 28.13
  4. Step 4: Simplify right side
    42.67x = 1,656.15
  5. Step 5: Solve for x
    x = 1,656.15/42.67
  6. Step 6: Final answer
    x = 38.82

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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.