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Finding the Fourth Proportional to 33.93, 46.78 and 24.10

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Solution

The fourth proportional to 33.93, 46.78 and 24.10 is: 33.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.93 : 46.78 = 24.10 : x
  2. Step 2: Convert to fraction form
    33.93/46.78 = 24.10/x
  3. Step 3: Cross multiply
    33.93x = 46.78 × 24.10
  4. Step 4: Simplify right side
    33.93x = 1,127.22
  5. Step 5: Solve for x
    x = 1,127.22/33.93
  6. Step 6: Final answer
    x = 33.22

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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.