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Finding the Fourth Proportional to 24.78, 34.14 and 18.30

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Solution

The fourth proportional to 24.78, 34.14 and 18.30 is: 25.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.78 : 34.14 = 18.30 : x
  2. Step 2: Convert to fraction form
    24.78/34.14 = 18.30/x
  3. Step 3: Cross multiply
    24.78x = 34.14 × 18.30
  4. Step 4: Simplify right side
    24.78x = 624.76
  5. Step 5: Solve for x
    x = 624.76/24.78
  6. Step 6: Final answer
    x = 25.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.