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Finding the Fourth Proportional to 109.86, 164.78 and 52.07

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Solution

The fourth proportional to 109.86, 164.78 and 52.07 is: 78.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.86 : 164.78 = 52.07 : x
  2. Step 2: Convert to fraction form
    109.86/164.78 = 52.07/x
  3. Step 3: Cross multiply
    109.86x = 164.78 × 52.07
  4. Step 4: Simplify right side
    109.86x = 8,579.01
  5. Step 5: Solve for x
    x = 8,579.01/109.86
  6. Step 6: Final answer
    x = 78.09

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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.