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Finding the Fourth Proportional to 42.02, 58.00 and 28.89

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Solution

The fourth proportional to 42.02, 58.00 and 28.89 is: 39.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.02 : 58.00 = 28.89 : x
  2. Step 2: Convert to fraction form
    42.02/58.00 = 28.89/x
  3. Step 3: Cross multiply
    42.02x = 58.00 × 28.89
  4. Step 4: Simplify right side
    42.02x = 1,675.48
  5. Step 5: Solve for x
    x = 1,675.48/42.02
  6. Step 6: Final answer
    x = 39.88

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