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Finding the Fourth Proportional to 17.60, 24.14 and 17.40

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Solution

The fourth proportional to 17.60, 24.14 and 17.40 is: 23.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.60 : 24.14 = 17.40 : x
  2. Step 2: Convert to fraction form
    17.60/24.14 = 17.40/x
  3. Step 3: Cross multiply
    17.60x = 24.14 × 17.40
  4. Step 4: Simplify right side
    17.60x = 420.04
  5. Step 5: Solve for x
    x = 420.04/17.60
  6. Step 6: Final answer
    x = 23.87

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.