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Finding the Fourth Proportional to 109.86, 164.89 and 75.53

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Solution

The fourth proportional to 109.86, 164.89 and 75.53 is: 113.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.86 : 164.89 = 75.53 : x
  2. Step 2: Convert to fraction form
    109.86/164.89 = 75.53/x
  3. Step 3: Cross multiply
    109.86x = 164.89 × 75.53
  4. Step 4: Simplify right side
    109.86x = 12,454.22
  5. Step 5: Solve for x
    x = 12,454.22/109.86
  6. Step 6: Final answer
    x = 113.37

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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.