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Finding the Fourth Proportional to 13, 19.42 and 11.32

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Solution

The fourth proportional to 13, 19.42 and 11.32 is: 16.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13 : 19.42 = 11.32 : x
  2. Step 2: Convert to fraction form
    13/19.42 = 11.32/x
  3. Step 3: Cross multiply
    13x = 19.42 × 11.32
  4. Step 4: Simplify right side
    13x = 219.83
  5. Step 5: Solve for x
    x = 219.83/13
  6. Step 6: Final answer
    x = 16.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.