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Finding the Fourth Proportional to 82.51, 123.78 and 33.77

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Solution

The fourth proportional to 82.51, 123.78 and 33.77 is: 50.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.51 : 123.78 = 33.77 : x
  2. Step 2: Convert to fraction form
    82.51/123.78 = 33.77/x
  3. Step 3: Cross multiply
    82.51x = 123.78 × 33.77
  4. Step 4: Simplify right side
    82.51x = 4,179.88
  5. Step 5: Solve for x
    x = 4,179.88/82.51
  6. Step 6: Final answer
    x = 50.66

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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.