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Finding the Fourth Proportional to 157.45, 217.23 and 98.49

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Solution

The fourth proportional to 157.45, 217.23 and 98.49 is: 135.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.45 : 217.23 = 98.49 : x
  2. Step 2: Convert to fraction form
    157.45/217.23 = 98.49/x
  3. Step 3: Cross multiply
    157.45x = 217.23 × 98.49
  4. Step 4: Simplify right side
    157.45x = 21,393.80
  5. Step 5: Solve for x
    x = 21,393.80/157.45
  6. Step 6: Final answer
    x = 135.88

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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.