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Finding the Fourth Proportional to 23.18, 32.00 and 19.31

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Solution

The fourth proportional to 23.18, 32.00 and 19.31 is: 26.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.18 : 32.00 = 19.31 : x
  2. Step 2: Convert to fraction form
    23.18/32.00 = 19.31/x
  3. Step 3: Cross multiply
    23.18x = 32.00 × 19.31
  4. Step 4: Simplify right side
    23.18x = 617.66
  5. Step 5: Solve for x
    x = 617.66/23.18
  6. Step 6: Final answer
    x = 26.65

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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.