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Finding the Fourth Proportional to 101.88, 151.99 and 89.02

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Solution

The fourth proportional to 101.88, 151.99 and 89.02 is: 132.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.88 : 151.99 = 89.02 : x
  2. Step 2: Convert to fraction form
    101.88/151.99 = 89.02/x
  3. Step 3: Cross multiply
    101.88x = 151.99 × 89.02
  4. Step 4: Simplify right side
    101.88x = 13,529.39
  5. Step 5: Solve for x
    x = 13,529.39/101.88
  6. Step 6: Final answer
    x = 132.80

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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.