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Finding the Fourth Proportional to 101.45, 151.37 and 96.09

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Solution

The fourth proportional to 101.45, 151.37 and 96.09 is: 143.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.45 : 151.37 = 96.09 : x
  2. Step 2: Convert to fraction form
    101.45/151.37 = 96.09/x
  3. Step 3: Cross multiply
    101.45x = 151.37 × 96.09
  4. Step 4: Simplify right side
    101.45x = 14,544.46
  5. Step 5: Solve for x
    x = 14,544.46/101.45
  6. Step 6: Final answer
    x = 143.36

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.