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Finding the Fourth Proportional to 23.70, 32.77 and 21.34

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Solution

The fourth proportional to 23.70, 32.77 and 21.34 is: 29.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.70 : 32.77 = 21.34 : x
  2. Step 2: Convert to fraction form
    23.70/32.77 = 21.34/x
  3. Step 3: Cross multiply
    23.70x = 32.77 × 21.34
  4. Step 4: Simplify right side
    23.70x = 699.31
  5. Step 5: Solve for x
    x = 699.31/23.70
  6. Step 6: Final answer
    x = 29.51

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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.