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Finding the Fourth Proportional to 37.77, 51.98 and 26.83

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Solution

The fourth proportional to 37.77, 51.98 and 26.83 is: 36.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.77 : 51.98 = 26.83 : x
  2. Step 2: Convert to fraction form
    37.77/51.98 = 26.83/x
  3. Step 3: Cross multiply
    37.77x = 51.98 × 26.83
  4. Step 4: Simplify right side
    37.77x = 1,394.55
  5. Step 5: Solve for x
    x = 1,394.55/37.77
  6. Step 6: Final answer
    x = 36.93

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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.