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Finding the Fourth Proportional to 23.77, 32.78 and 17.61

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Solution

The fourth proportional to 23.77, 32.78 and 17.61 is: 24.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.77 : 32.78 = 17.61 : x
  2. Step 2: Convert to fraction form
    23.77/32.78 = 17.61/x
  3. Step 3: Cross multiply
    23.77x = 32.78 × 17.61
  4. Step 4: Simplify right side
    23.77x = 577.17
  5. Step 5: Solve for x
    x = 577.17/23.77
  6. Step 6: Final answer
    x = 24.28

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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.