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Finding the Fourth Proportional to 42.89, 58.75 and 42.30

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Solution

The fourth proportional to 42.89, 58.75 and 42.30 is: 57.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.89 : 58.75 = 42.30 : x
  2. Step 2: Convert to fraction form
    42.89/58.75 = 42.30/x
  3. Step 3: Cross multiply
    42.89x = 58.75 × 42.30
  4. Step 4: Simplify right side
    42.89x = 2,485.02
  5. Step 5: Solve for x
    x = 2,485.02/42.89
  6. Step 6: Final answer
    x = 57.95

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.