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Finding the Fourth Proportional to 22.83, 34.25 and 16.04

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Solution

The fourth proportional to 22.83, 34.25 and 16.04 is: 24.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.83 : 34.25 = 16.04 : x
  2. Step 2: Convert to fraction form
    22.83/34.25 = 16.04/x
  3. Step 3: Cross multiply
    22.83x = 34.25 × 16.04
  4. Step 4: Simplify right side
    22.83x = 549.12
  5. Step 5: Solve for x
    x = 549.12/22.83
  6. Step 6: Final answer
    x = 24.05

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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.