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Finding the Fourth Proportional to 109.82, 164.62 and 52.00

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Solution

The fourth proportional to 109.82, 164.62 and 52.00 is: 77.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.82 : 164.62 = 52.00 : x
  2. Step 2: Convert to fraction form
    109.82/164.62 = 52.00/x
  3. Step 3: Cross multiply
    109.82x = 164.62 × 52.00
  4. Step 4: Simplify right side
    109.82x = 8,559.16
  5. Step 5: Solve for x
    x = 8,559.16/109.82
  6. Step 6: Final answer
    x = 77.94

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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.