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Finding the Fourth Proportional to 144.28, 216.01 and 109.99

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Solution

The fourth proportional to 144.28, 216.01 and 109.99 is: 164.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.28 : 216.01 = 109.99 : x
  2. Step 2: Convert to fraction form
    144.28/216.01 = 109.99/x
  3. Step 3: Cross multiply
    144.28x = 216.01 × 109.99
  4. Step 4: Simplify right side
    144.28x = 23,758.94
  5. Step 5: Solve for x
    x = 23,758.94/144.28
  6. Step 6: Final answer
    x = 164.67

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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.