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Finding the Fourth Proportional to 16.88, 23.30 and 10.75

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Solution

The fourth proportional to 16.88, 23.30 and 10.75 is: 14.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.88 : 23.30 = 10.75 : x
  2. Step 2: Convert to fraction form
    16.88/23.30 = 10.75/x
  3. Step 3: Cross multiply
    16.88x = 23.30 × 10.75
  4. Step 4: Simplify right side
    16.88x = 250.48
  5. Step 5: Solve for x
    x = 250.48/16.88
  6. Step 6: Final answer
    x = 14.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.