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Finding the Fourth Proportional to 109.06, 150.49 and 72.20

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Solution

The fourth proportional to 109.06, 150.49 and 72.20 is: 99.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.06 : 150.49 = 72.20 : x
  2. Step 2: Convert to fraction form
    109.06/150.49 = 72.20/x
  3. Step 3: Cross multiply
    109.06x = 150.49 × 72.20
  4. Step 4: Simplify right side
    109.06x = 10,865.84
  5. Step 5: Solve for x
    x = 10,865.84/109.06
  6. Step 6: Final answer
    x = 99.63

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