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Finding the Fourth Proportional to 151, 226.54 and 53.54

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Solution

The fourth proportional to 151, 226.54 and 53.54 is: 80.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    151 : 226.54 = 53.54 : x
  2. Step 2: Convert to fraction form
    151/226.54 = 53.54/x
  3. Step 3: Cross multiply
    151x = 226.54 × 53.54
  4. Step 4: Simplify right side
    151x = 12,128.95
  5. Step 5: Solve for x
    x = 12,128.95/151
  6. Step 6: Final answer
    x = 80.32

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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.