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Finding the Fourth Proportional to 17.30, 23.88 and 10.02

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Solution

The fourth proportional to 17.30, 23.88 and 10.02 is: 13.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.30 : 23.88 = 10.02 : x
  2. Step 2: Convert to fraction form
    17.30/23.88 = 10.02/x
  3. Step 3: Cross multiply
    17.30x = 23.88 × 10.02
  4. Step 4: Simplify right side
    17.30x = 239.29
  5. Step 5: Solve for x
    x = 239.29/17.30
  6. Step 6: Final answer
    x = 13.83

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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.