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Finding the Fourth Proportional to 153, 211.02 and 97.73

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Solution

The fourth proportional to 153, 211.02 and 97.73 is: 134.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    153 : 211.02 = 97.73 : x
  2. Step 2: Convert to fraction form
    153/211.02 = 97.73/x
  3. Step 3: Cross multiply
    153x = 211.02 × 97.73
  4. Step 4: Simplify right side
    153x = 20,621.93
  5. Step 5: Solve for x
    x = 20,621.93/153
  6. Step 6: Final answer
    x = 134.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.