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Finding the Fourth Proportional to 77.83, 116.78 and 29.77

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Solution

The fourth proportional to 77.83, 116.78 and 29.77 is: 44.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.83 : 116.78 = 29.77 : x
  2. Step 2: Convert to fraction form
    77.83/116.78 = 29.77/x
  3. Step 3: Cross multiply
    77.83x = 116.78 × 29.77
  4. Step 4: Simplify right side
    77.83x = 3,476.10
  5. Step 5: Solve for x
    x = 3,476.10/77.83
  6. Step 6: Final answer
    x = 44.66

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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.