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Finding the Fourth Proportional to 42.30, 57.95 and 42.18

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Solution

The fourth proportional to 42.30, 57.95 and 42.18 is: 57.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.30 : 57.95 = 42.18 : x
  2. Step 2: Convert to fraction form
    42.30/57.95 = 42.18/x
  3. Step 3: Cross multiply
    42.30x = 57.95 × 42.18
  4. Step 4: Simplify right side
    42.30x = 2,444.12
  5. Step 5: Solve for x
    x = 2,444.12/42.30
  6. Step 6: Final answer
    x = 57.78

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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.