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Finding the Fourth Proportional to 17.40, 25.97 and 14.40

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Solution

The fourth proportional to 17.40, 25.97 and 14.40 is: 21.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.40 : 25.97 = 14.40 : x
  2. Step 2: Convert to fraction form
    17.40/25.97 = 14.40/x
  3. Step 3: Cross multiply
    17.40x = 25.97 × 14.40
  4. Step 4: Simplify right side
    17.40x = 373.90
  5. Step 5: Solve for x
    x = 373.90/17.40
  6. Step 6: Final answer
    x = 21.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.