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Finding the Fourth Proportional to 153.31, 211.48 and 98.09

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Solution

The fourth proportional to 153.31, 211.48 and 98.09 is: 135.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.31 : 211.48 = 98.09 : x
  2. Step 2: Convert to fraction form
    153.31/211.48 = 98.09/x
  3. Step 3: Cross multiply
    153.31x = 211.48 × 98.09
  4. Step 4: Simplify right side
    153.31x = 20,744.75
  5. Step 5: Solve for x
    x = 20,744.75/153.31
  6. Step 6: Final answer
    x = 135.31

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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.