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Finding the Fourth Proportional to 109.86, 164.85 and 77.94

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Solution

The fourth proportional to 109.86, 164.85 and 77.94 is: 116.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.86 : 164.85 = 77.94 : x
  2. Step 2: Convert to fraction form
    109.86/164.85 = 77.94/x
  3. Step 3: Cross multiply
    109.86x = 164.85 × 77.94
  4. Step 4: Simplify right side
    109.86x = 12,848.41
  5. Step 5: Solve for x
    x = 12,848.41/109.86
  6. Step 6: Final answer
    x = 116.95

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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.