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Finding the Fourth Proportional to 39.49, 59.08 and 33.77

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Solution

The fourth proportional to 39.49, 59.08 and 33.77 is: 50.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.49 : 59.08 = 33.77 : x
  2. Step 2: Convert to fraction form
    39.49/59.08 = 33.77/x
  3. Step 3: Cross multiply
    39.49x = 59.08 × 33.77
  4. Step 4: Simplify right side
    39.49x = 1,994.93
  5. Step 5: Solve for x
    x = 1,994.93/39.49
  6. Step 6: Final answer
    x = 50.52

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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.