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Finding the Fourth Proportional to 99.67, 150.06 and 89.75

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Solution

The fourth proportional to 99.67, 150.06 and 89.75 is: 135.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.67 : 150.06 = 89.75 : x
  2. Step 2: Convert to fraction form
    99.67/150.06 = 89.75/x
  3. Step 3: Cross multiply
    99.67x = 150.06 × 89.75
  4. Step 4: Simplify right side
    99.67x = 13,467.89
  5. Step 5: Solve for x
    x = 13,467.89/99.67
  6. Step 6: Final answer
    x = 135.12

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.