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Finding the Fourth Proportional to 153.52, 211.78 and 97.53

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Solution

The fourth proportional to 153.52, 211.78 and 97.53 is: 134.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.52 : 211.78 = 97.53 : x
  2. Step 2: Convert to fraction form
    153.52/211.78 = 97.53/x
  3. Step 3: Cross multiply
    153.52x = 211.78 × 97.53
  4. Step 4: Simplify right side
    153.52x = 20,654.90
  5. Step 5: Solve for x
    x = 20,654.90/153.52
  6. Step 6: Final answer
    x = 134.54

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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.