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Finding the Fourth Proportional to 109.75, 164.88 and 75.53

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Solution

The fourth proportional to 109.75, 164.88 and 75.53 is: 113.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.75 : 164.88 = 75.53 : x
  2. Step 2: Convert to fraction form
    109.75/164.88 = 75.53/x
  3. Step 3: Cross multiply
    109.75x = 164.88 × 75.53
  4. Step 4: Simplify right side
    109.75x = 12,452.18
  5. Step 5: Solve for x
    x = 12,452.18/109.75
  6. Step 6: Final answer
    x = 113.46

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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.