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Finding the Fourth Proportional to 100.36, 149.72 and 89.56

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Solution

The fourth proportional to 100.36, 149.72 and 89.56 is: 133.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.36 : 149.72 = 89.56 : x
  2. Step 2: Convert to fraction form
    100.36/149.72 = 89.56/x
  3. Step 3: Cross multiply
    100.36x = 149.72 × 89.56
  4. Step 4: Simplify right side
    100.36x = 13,408.92
  5. Step 5: Solve for x
    x = 13,408.92/100.36
  6. Step 6: Final answer
    x = 133.61

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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.