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Finding the Fourth Proportional to 19.54, 29.14 and 18.68

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Solution

The fourth proportional to 19.54, 29.14 and 18.68 is: 27.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.54 : 29.14 = 18.68 : x
  2. Step 2: Convert to fraction form
    19.54/29.14 = 18.68/x
  3. Step 3: Cross multiply
    19.54x = 29.14 × 18.68
  4. Step 4: Simplify right side
    19.54x = 544.34
  5. Step 5: Solve for x
    x = 544.34/19.54
  6. Step 6: Final answer
    x = 27.86

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.