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Finding the Fourth Proportional to 33.40, 46.09 and 31.45

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Solution

The fourth proportional to 33.40, 46.09 and 31.45 is: 43.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.40 : 46.09 = 31.45 : x
  2. Step 2: Convert to fraction form
    33.40/46.09 = 31.45/x
  3. Step 3: Cross multiply
    33.40x = 46.09 × 31.45
  4. Step 4: Simplify right side
    33.40x = 1,449.53
  5. Step 5: Solve for x
    x = 1,449.53/33.40
  6. Step 6: Final answer
    x = 43.40

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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.