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Finding the Fourth Proportional to 23.03, 31.77 and 12.66

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Solution

The fourth proportional to 23.03, 31.77 and 12.66 is: 17.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.03 : 31.77 = 12.66 : x
  2. Step 2: Convert to fraction form
    23.03/31.77 = 12.66/x
  3. Step 3: Cross multiply
    23.03x = 31.77 × 12.66
  4. Step 4: Simplify right side
    23.03x = 402.38
  5. Step 5: Solve for x
    x = 402.38/23.03
  6. Step 6: Final answer
    x = 17.48

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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.