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Finding the Fourth Proportional to 42.16, 58.56 and 41.60

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Solution

The fourth proportional to 42.16, 58.56 and 41.60 is: 57.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.16 : 58.56 = 41.60 : x
  2. Step 2: Convert to fraction form
    42.16/58.56 = 41.60/x
  3. Step 3: Cross multiply
    42.16x = 58.56 × 41.60
  4. Step 4: Simplify right side
    42.16x = 2,436.10
  5. Step 5: Solve for x
    x = 2,436.10/42.16
  6. Step 6: Final answer
    x = 57.78

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.