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Finding the Fourth Proportional to 33.10, 49.74 and 31.66

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Solution

The fourth proportional to 33.10, 49.74 and 31.66 is: 47.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.10 : 49.74 = 31.66 : x
  2. Step 2: Convert to fraction form
    33.10/49.74 = 31.66/x
  3. Step 3: Cross multiply
    33.10x = 49.74 × 31.66
  4. Step 4: Simplify right side
    33.10x = 1,574.77
  5. Step 5: Solve for x
    x = 1,574.77/33.10
  6. Step 6: Final answer
    x = 47.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.