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Finding the Fourth Proportional to 34.40, 51.62 and 19.18

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Solution

The fourth proportional to 34.40, 51.62 and 19.18 is: 28.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.40 : 51.62 = 19.18 : x
  2. Step 2: Convert to fraction form
    34.40/51.62 = 19.18/x
  3. Step 3: Cross multiply
    34.40x = 51.62 × 19.18
  4. Step 4: Simplify right side
    34.40x = 990.07
  5. Step 5: Solve for x
    x = 990.07/34.40
  6. Step 6: Final answer
    x = 28.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.