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Finding the Fourth Proportional to 13.58, 20.32 and 13.22

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Solution

The fourth proportional to 13.58, 20.32 and 13.22 is: 19.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.58 : 20.32 = 13.22 : x
  2. Step 2: Convert to fraction form
    13.58/20.32 = 13.22/x
  3. Step 3: Cross multiply
    13.58x = 20.32 × 13.22
  4. Step 4: Simplify right side
    13.58x = 268.51
  5. Step 5: Solve for x
    x = 268.51/13.58
  6. Step 6: Final answer
    x = 19.77

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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.