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Finding the Fourth Proportional to 42.60, 63.90 and 18.54

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Solution

The fourth proportional to 42.60, 63.90 and 18.54 is: 27.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.60 : 63.90 = 18.54 : x
  2. Step 2: Convert to fraction form
    42.60/63.90 = 18.54/x
  3. Step 3: Cross multiply
    42.60x = 63.90 × 18.54
  4. Step 4: Simplify right side
    42.60x = 1,184.71
  5. Step 5: Solve for x
    x = 1,184.71/42.60
  6. Step 6: Final answer
    x = 27.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.