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Finding the Fourth Proportional to 17.47, 24.08 and 14.56

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Solution

The fourth proportional to 17.47, 24.08 and 14.56 is: 20.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.47 : 24.08 = 14.56 : x
  2. Step 2: Convert to fraction form
    17.47/24.08 = 14.56/x
  3. Step 3: Cross multiply
    17.47x = 24.08 × 14.56
  4. Step 4: Simplify right side
    17.47x = 350.60
  5. Step 5: Solve for x
    x = 350.60/17.47
  6. Step 6: Final answer
    x = 20.07

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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.