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Finding the Fourth Proportional to 33.79, 46.64 and 24.63

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Solution

The fourth proportional to 33.79, 46.64 and 24.63 is: 34.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.79 : 46.64 = 24.63 : x
  2. Step 2: Convert to fraction form
    33.79/46.64 = 24.63/x
  3. Step 3: Cross multiply
    33.79x = 46.64 × 24.63
  4. Step 4: Simplify right side
    33.79x = 1,148.74
  5. Step 5: Solve for x
    x = 1,148.74/33.79
  6. Step 6: Final answer
    x = 34.00

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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.