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Finding the Fourth Proportional to 101.56, 151.95 and 80.99

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Solution

The fourth proportional to 101.56, 151.95 and 80.99 is: 121.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.56 : 151.95 = 80.99 : x
  2. Step 2: Convert to fraction form
    101.56/151.95 = 80.99/x
  3. Step 3: Cross multiply
    101.56x = 151.95 × 80.99
  4. Step 4: Simplify right side
    101.56x = 12,306.43
  5. Step 5: Solve for x
    x = 12,306.43/101.56
  6. Step 6: Final answer
    x = 121.17

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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.