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Finding the Fourth Proportional to 38.90, 58.46 and 33.77

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Solution

The fourth proportional to 38.90, 58.46 and 33.77 is: 50.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.90 : 58.46 = 33.77 : x
  2. Step 2: Convert to fraction form
    38.90/58.46 = 33.77/x
  3. Step 3: Cross multiply
    38.90x = 58.46 × 33.77
  4. Step 4: Simplify right side
    38.90x = 1,973.73
  5. Step 5: Solve for x
    x = 1,973.73/38.90
  6. Step 6: Final answer
    x = 50.75

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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.