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Finding the Fourth Proportional to 25.35, 37.84 and 22.14

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Solution

The fourth proportional to 25.35, 37.84 and 22.14 is: 33.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.35 : 37.84 = 22.14 : x
  2. Step 2: Convert to fraction form
    25.35/37.84 = 22.14/x
  3. Step 3: Cross multiply
    25.35x = 37.84 × 22.14
  4. Step 4: Simplify right side
    25.35x = 837.93
  5. Step 5: Solve for x
    x = 837.93/25.35
  6. Step 6: Final answer
    x = 33.05

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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.