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Finding the Fourth Proportional to 109.89, 164.87 and 52.14

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Solution

The fourth proportional to 109.89, 164.87 and 52.14 is: 78.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.89 : 164.87 = 52.14 : x
  2. Step 2: Convert to fraction form
    109.89/164.87 = 52.14/x
  3. Step 3: Cross multiply
    109.89x = 164.87 × 52.14
  4. Step 4: Simplify right side
    109.89x = 8,596.87
  5. Step 5: Solve for x
    x = 8,596.87/109.89
  6. Step 6: Final answer
    x = 78.23

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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.