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Finding the Fourth Proportional to 35.75, 49.47 and 33.19

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Solution

The fourth proportional to 35.75, 49.47 and 33.19 is: 45.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.75 : 49.47 = 33.19 : x
  2. Step 2: Convert to fraction form
    35.75/49.47 = 33.19/x
  3. Step 3: Cross multiply
    35.75x = 49.47 × 33.19
  4. Step 4: Simplify right side
    35.75x = 1,641.66
  5. Step 5: Solve for x
    x = 1,641.66/35.75
  6. Step 6: Final answer
    x = 45.92

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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.