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Finding the Fourth Proportional to 17.78, 24.50 and 13.40

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Solution

The fourth proportional to 17.78, 24.50 and 13.40 is: 18.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.78 : 24.50 = 13.40 : x
  2. Step 2: Convert to fraction form
    17.78/24.50 = 13.40/x
  3. Step 3: Cross multiply
    17.78x = 24.50 × 13.40
  4. Step 4: Simplify right side
    17.78x = 328.30
  5. Step 5: Solve for x
    x = 328.30/17.78
  6. Step 6: Final answer
    x = 18.46

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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.