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Finding the Fourth Proportional to 33.48, 45.90 and 31.95

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Solution

The fourth proportional to 33.48, 45.90 and 31.95 is: 43.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.48 : 45.90 = 31.95 : x
  2. Step 2: Convert to fraction form
    33.48/45.90 = 31.95/x
  3. Step 3: Cross multiply
    33.48x = 45.90 × 31.95
  4. Step 4: Simplify right side
    33.48x = 1,466.51
  5. Step 5: Solve for x
    x = 1,466.51/33.48
  6. Step 6: Final answer
    x = 43.80

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.