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Finding the Fourth Proportional to 19.22, 26.50 and 13.07

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Solution

The fourth proportional to 19.22, 26.50 and 13.07 is: 18.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.22 : 26.50 = 13.07 : x
  2. Step 2: Convert to fraction form
    19.22/26.50 = 13.07/x
  3. Step 3: Cross multiply
    19.22x = 26.50 × 13.07
  4. Step 4: Simplify right side
    19.22x = 346.29
  5. Step 5: Solve for x
    x = 346.29/19.22
  6. Step 6: Final answer
    x = 18.02

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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.