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Finding the Fourth Proportional to 24.35, 33.60 and 17.08

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Solution

The fourth proportional to 24.35, 33.60 and 17.08 is: 23.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.35 : 33.60 = 17.08 : x
  2. Step 2: Convert to fraction form
    24.35/33.60 = 17.08/x
  3. Step 3: Cross multiply
    24.35x = 33.60 × 17.08
  4. Step 4: Simplify right side
    24.35x = 573.80
  5. Step 5: Solve for x
    x = 573.80/24.35
  6. Step 6: Final answer
    x = 23.57

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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.