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Finding the Fourth Proportional to 19.50, 26.90 and 19.08

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Solution

The fourth proportional to 19.50, 26.90 and 19.08 is: 26.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.50 : 26.90 = 19.08 : x
  2. Step 2: Convert to fraction form
    19.50/26.90 = 19.08/x
  3. Step 3: Cross multiply
    19.50x = 26.90 × 19.08
  4. Step 4: Simplify right side
    19.50x = 513.25
  5. Step 5: Solve for x
    x = 513.25/19.50
  6. Step 6: Final answer
    x = 26.32

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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.