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Finding the Fourth Proportional to 23.19, 32.00 and 13.98

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Solution

The fourth proportional to 23.19, 32.00 and 13.98 is: 19.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.19 : 32.00 = 13.98 : x
  2. Step 2: Convert to fraction form
    23.19/32.00 = 13.98/x
  3. Step 3: Cross multiply
    23.19x = 32.00 × 13.98
  4. Step 4: Simplify right side
    23.19x = 447.32
  5. Step 5: Solve for x
    x = 447.32/23.19
  6. Step 6: Final answer
    x = 19.29

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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.