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Finding the Fourth Proportional to 42.78, 59.31 and 42.06

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Solution

The fourth proportional to 42.78, 59.31 and 42.06 is: 58.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.78 : 59.31 = 42.06 : x
  2. Step 2: Convert to fraction form
    42.78/59.31 = 42.06/x
  3. Step 3: Cross multiply
    42.78x = 59.31 × 42.06
  4. Step 4: Simplify right side
    42.78x = 2,494.58
  5. Step 5: Solve for x
    x = 2,494.58/42.78
  6. Step 6: Final answer
    x = 58.31

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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.