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Finding the Fourth Proportional to 22.80, 31.43 and 16.65

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Solution

The fourth proportional to 22.80, 31.43 and 16.65 is: 22.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.80 : 31.43 = 16.65 : x
  2. Step 2: Convert to fraction form
    22.80/31.43 = 16.65/x
  3. Step 3: Cross multiply
    22.80x = 31.43 × 16.65
  4. Step 4: Simplify right side
    22.80x = 523.11
  5. Step 5: Solve for x
    x = 523.11/22.80
  6. Step 6: Final answer
    x = 22.95

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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.