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Finding the Fourth Proportional to 101.24, 151.13 and 89.09

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Solution

The fourth proportional to 101.24, 151.13 and 89.09 is: 132.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.24 : 151.13 = 89.09 : x
  2. Step 2: Convert to fraction form
    101.24/151.13 = 89.09/x
  3. Step 3: Cross multiply
    101.24x = 151.13 × 89.09
  4. Step 4: Simplify right side
    101.24x = 13,464.17
  5. Step 5: Solve for x
    x = 13,464.17/101.24
  6. Step 6: Final answer
    x = 132.99

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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.