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Finding the Fourth Proportional to 16.67, 24.93 and 15.75

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Solution

The fourth proportional to 16.67, 24.93 and 15.75 is: 23.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.67 : 24.93 = 15.75 : x
  2. Step 2: Convert to fraction form
    16.67/24.93 = 15.75/x
  3. Step 3: Cross multiply
    16.67x = 24.93 × 15.75
  4. Step 4: Simplify right side
    16.67x = 392.65
  5. Step 5: Solve for x
    x = 392.65/16.67
  6. Step 6: Final answer
    x = 23.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.