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Finding the Fourth Proportional to 17.43, 24.02 and 14.52

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Solution

The fourth proportional to 17.43, 24.02 and 14.52 is: 20.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.43 : 24.02 = 14.52 : x
  2. Step 2: Convert to fraction form
    17.43/24.02 = 14.52/x
  3. Step 3: Cross multiply
    17.43x = 24.02 × 14.52
  4. Step 4: Simplify right side
    17.43x = 348.79
  5. Step 5: Solve for x
    x = 348.79/17.43
  6. Step 6: Final answer
    x = 20.01

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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.