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Finding the Fourth Proportional to 151.14, 226.50 and 105.42

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Solution

The fourth proportional to 151.14, 226.50 and 105.42 is: 157.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.14 : 226.50 = 105.42 : x
  2. Step 2: Convert to fraction form
    151.14/226.50 = 105.42/x
  3. Step 3: Cross multiply
    151.14x = 226.50 × 105.42
  4. Step 4: Simplify right side
    151.14x = 23,877.63
  5. Step 5: Solve for x
    x = 23,877.63/151.14
  6. Step 6: Final answer
    x = 157.98

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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.