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Finding the Fourth Proportional to 151.06, 226.50 and 97.03

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Solution

The fourth proportional to 151.06, 226.50 and 97.03 is: 145.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.06 : 226.50 = 97.03 : x
  2. Step 2: Convert to fraction form
    151.06/226.50 = 97.03/x
  3. Step 3: Cross multiply
    151.06x = 226.50 × 97.03
  4. Step 4: Simplify right side
    151.06x = 21,977.30
  5. Step 5: Solve for x
    x = 21,977.30/151.06
  6. Step 6: Final answer
    x = 145.49

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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.