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Finding the Fourth Proportional to 151.24, 227.01 and 70.14

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Solution

The fourth proportional to 151.24, 227.01 and 70.14 is: 105.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.24 : 227.01 = 70.14 : x
  2. Step 2: Convert to fraction form
    151.24/227.01 = 70.14/x
  3. Step 3: Cross multiply
    151.24x = 227.01 × 70.14
  4. Step 4: Simplify right side
    151.24x = 15,922.48
  5. Step 5: Solve for x
    x = 15,922.48/151.24
  6. Step 6: Final answer
    x = 105.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.