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Finding the Fourth Proportional to 61.29, 84.58 and 33.65

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Solution

The fourth proportional to 61.29, 84.58 and 33.65 is: 46.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.29 : 84.58 = 33.65 : x
  2. Step 2: Convert to fraction form
    61.29/84.58 = 33.65/x
  3. Step 3: Cross multiply
    61.29x = 84.58 × 33.65
  4. Step 4: Simplify right side
    61.29x = 2,846.30
  5. Step 5: Solve for x
    x = 2,846.30/61.29
  6. Step 6: Final answer
    x = 46.44

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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.