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Finding the Fourth Proportional to 101.13, 151.30 and 70.75

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Solution

The fourth proportional to 101.13, 151.30 and 70.75 is: 105.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.13 : 151.30 = 70.75 : x
  2. Step 2: Convert to fraction form
    101.13/151.30 = 70.75/x
  3. Step 3: Cross multiply
    101.13x = 151.30 × 70.75
  4. Step 4: Simplify right side
    101.13x = 10,704.48
  5. Step 5: Solve for x
    x = 10,704.48/101.13
  6. Step 6: Final answer
    x = 105.85

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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.