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Finding the Fourth Proportional to 109.28, 150.63 and 83.05

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Solution

The fourth proportional to 109.28, 150.63 and 83.05 is: 114.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.28 : 150.63 = 83.05 : x
  2. Step 2: Convert to fraction form
    109.28/150.63 = 83.05/x
  3. Step 3: Cross multiply
    109.28x = 150.63 × 83.05
  4. Step 4: Simplify right side
    109.28x = 12,508.65
  5. Step 5: Solve for x
    x = 12,508.65/109.28
  6. Step 6: Final answer
    x = 114.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.