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Finding the Fourth Proportional to 22.75, 31.36 and 18.14

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Solution

The fourth proportional to 22.75, 31.36 and 18.14 is: 25.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.75 : 31.36 = 18.14 : x
  2. Step 2: Convert to fraction form
    22.75/31.36 = 18.14/x
  3. Step 3: Cross multiply
    22.75x = 31.36 × 18.14
  4. Step 4: Simplify right side
    22.75x = 568.87
  5. Step 5: Solve for x
    x = 568.87/22.75
  6. Step 6: Final answer
    x = 25.01

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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.