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Finding the Fourth Proportional to 109.50, 164.37 and 52.62

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Solution

The fourth proportional to 109.50, 164.37 and 52.62 is: 78.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.50 : 164.37 = 52.62 : x
  2. Step 2: Convert to fraction form
    109.50/164.37 = 52.62/x
  3. Step 3: Cross multiply
    109.50x = 164.37 × 52.62
  4. Step 4: Simplify right side
    109.50x = 8,649.15
  5. Step 5: Solve for x
    x = 8,649.15/109.50
  6. Step 6: Final answer
    x = 78.99

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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.