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Finding the Fourth Proportional to 151.04, 226.56 and 105.34

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Solution

The fourth proportional to 151.04, 226.56 and 105.34 is: 158.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.04 : 226.56 = 105.34 : x
  2. Step 2: Convert to fraction form
    151.04/226.56 = 105.34/x
  3. Step 3: Cross multiply
    151.04x = 226.56 × 105.34
  4. Step 4: Simplify right side
    151.04x = 23,865.83
  5. Step 5: Solve for x
    x = 23,865.83/151.04
  6. Step 6: Final answer
    x = 158.01

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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.