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Finding the Fourth Proportional to 19.52, 29.34 and 18.40

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Solution

The fourth proportional to 19.52, 29.34 and 18.40 is: 27.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.52 : 29.34 = 18.40 : x
  2. Step 2: Convert to fraction form
    19.52/29.34 = 18.40/x
  3. Step 3: Cross multiply
    19.52x = 29.34 × 18.40
  4. Step 4: Simplify right side
    19.52x = 539.86
  5. Step 5: Solve for x
    x = 539.86/19.52
  6. Step 6: Final answer
    x = 27.66

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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.