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Finding the Fourth Proportional to 25.22, 37.80 and 21.14

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Solution

The fourth proportional to 25.22, 37.80 and 21.14 is: 31.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.22 : 37.80 = 21.14 : x
  2. Step 2: Convert to fraction form
    25.22/37.80 = 21.14/x
  3. Step 3: Cross multiply
    25.22x = 37.80 × 21.14
  4. Step 4: Simplify right side
    25.22x = 799.09
  5. Step 5: Solve for x
    x = 799.09/25.22
  6. Step 6: Final answer
    x = 31.68

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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.