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Finding the Fourth Proportional to 23.83, 32.45 and 23.69

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Solution

The fourth proportional to 23.83, 32.45 and 23.69 is: 32.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.83 : 32.45 = 23.69 : x
  2. Step 2: Convert to fraction form
    23.83/32.45 = 23.69/x
  3. Step 3: Cross multiply
    23.83x = 32.45 × 23.69
  4. Step 4: Simplify right side
    23.83x = 768.74
  5. Step 5: Solve for x
    x = 768.74/23.83
  6. Step 6: Final answer
    x = 32.26

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.