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Finding the Fourth Proportional to 150.98, 226.04 and 96.93

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Solution

The fourth proportional to 150.98, 226.04 and 96.93 is: 145.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.98 : 226.04 = 96.93 : x
  2. Step 2: Convert to fraction form
    150.98/226.04 = 96.93/x
  3. Step 3: Cross multiply
    150.98x = 226.04 × 96.93
  4. Step 4: Simplify right side
    150.98x = 21,909.57
  5. Step 5: Solve for x
    x = 21,909.57/150.98
  6. Step 6: Final answer
    x = 145.12

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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.