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Finding the Fourth Proportional to 101.41, 151.82 and 77.13

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Solution

The fourth proportional to 101.41, 151.82 and 77.13 is: 115.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.41 : 151.82 = 77.13 : x
  2. Step 2: Convert to fraction form
    101.41/151.82 = 77.13/x
  3. Step 3: Cross multiply
    101.41x = 151.82 × 77.13
  4. Step 4: Simplify right side
    101.41x = 11,709.49
  5. Step 5: Solve for x
    x = 11,709.49/101.41
  6. Step 6: Final answer
    x = 115.47

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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.