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Finding the Fourth Proportional to 150.70, 226.08 and 86.50

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Solution

The fourth proportional to 150.70, 226.08 and 86.50 is: 129.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.70 : 226.08 = 86.50 : x
  2. Step 2: Convert to fraction form
    150.70/226.08 = 86.50/x
  3. Step 3: Cross multiply
    150.70x = 226.08 × 86.50
  4. Step 4: Simplify right side
    150.70x = 19,555.92
  5. Step 5: Solve for x
    x = 19,555.92/150.70
  6. Step 6: Final answer
    x = 129.77

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Why These Related Problems?

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