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Finding the Fourth Proportional to 150.96, 226.53 and 64.29

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Solution

The fourth proportional to 150.96, 226.53 and 64.29 is: 96.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.96 : 226.53 = 64.29 : x
  2. Step 2: Convert to fraction form
    150.96/226.53 = 64.29/x
  3. Step 3: Cross multiply
    150.96x = 226.53 × 64.29
  4. Step 4: Simplify right side
    150.96x = 14,563.61
  5. Step 5: Solve for x
    x = 14,563.61/150.96
  6. Step 6: Final answer
    x = 96.47

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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.