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Finding the Fourth Proportional to 109.83, 164.61 and 52.04

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Solution

The fourth proportional to 109.83, 164.61 and 52.04 is: 77.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.83 : 164.61 = 52.04 : x
  2. Step 2: Convert to fraction form
    109.83/164.61 = 52.04/x
  3. Step 3: Cross multiply
    109.83x = 164.61 × 52.04
  4. Step 4: Simplify right side
    109.83x = 8,565.48
  5. Step 5: Solve for x
    x = 8,565.48/109.83
  6. Step 6: Final answer
    x = 77.99

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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.