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Finding the Fourth Proportional to 150.63, 226.07 and 96.57

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Solution

The fourth proportional to 150.63, 226.07 and 96.57 is: 144.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.63 : 226.07 = 96.57 : x
  2. Step 2: Convert to fraction form
    150.63/226.07 = 96.57/x
  3. Step 3: Cross multiply
    150.63x = 226.07 × 96.57
  4. Step 4: Simplify right side
    150.63x = 21,831.10
  5. Step 5: Solve for x
    x = 21,831.10/150.63
  6. Step 6: Final answer
    x = 144.93

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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.