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Finding the Fourth Proportional to 23.93, 35.85 and 21.80

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Solution

The fourth proportional to 23.93, 35.85 and 21.80 is: 32.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.93 : 35.85 = 21.80 : x
  2. Step 2: Convert to fraction form
    23.93/35.85 = 21.80/x
  3. Step 3: Cross multiply
    23.93x = 35.85 × 21.80
  4. Step 4: Simplify right side
    23.93x = 781.35
  5. Step 5: Solve for x
    x = 781.35/23.93
  6. Step 6: Final answer
    x = 32.66

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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.