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Finding the Fourth Proportional to 150.87, 226.08 and 102.06

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Solution

The fourth proportional to 150.87, 226.08 and 102.06 is: 152.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.87 : 226.08 = 102.06 : x
  2. Step 2: Convert to fraction form
    150.87/226.08 = 102.06/x
  3. Step 3: Cross multiply
    150.87x = 226.08 × 102.06
  4. Step 4: Simplify right side
    150.87x = 23,073.72
  5. Step 5: Solve for x
    x = 23,073.72/150.87
  6. Step 6: Final answer
    x = 152.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.