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Finding the Fourth Proportional to 25.42, 38.14 and 21.40

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Solution

The fourth proportional to 25.42, 38.14 and 21.40 is: 32.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.42 : 38.14 = 21.40 : x
  2. Step 2: Convert to fraction form
    25.42/38.14 = 21.40/x
  3. Step 3: Cross multiply
    25.42x = 38.14 × 21.40
  4. Step 4: Simplify right side
    25.42x = 816.20
  5. Step 5: Solve for x
    x = 816.20/25.42
  6. Step 6: Final answer
    x = 32.11

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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.