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Finding the Fourth Proportional to 77.83, 116.77 and 37.25

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Solution

The fourth proportional to 77.83, 116.77 and 37.25 is: 55.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.83 : 116.77 = 37.25 : x
  2. Step 2: Convert to fraction form
    77.83/116.77 = 37.25/x
  3. Step 3: Cross multiply
    77.83x = 116.77 × 37.25
  4. Step 4: Simplify right side
    77.83x = 4,349.68
  5. Step 5: Solve for x
    x = 4,349.68/77.83
  6. Step 6: Final answer
    x = 55.89

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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.