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Finding the Fourth Proportional to 157.34, 217.22 and 99.20

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Solution

The fourth proportional to 157.34, 217.22 and 99.20 is: 136.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.34 : 217.22 = 99.20 : x
  2. Step 2: Convert to fraction form
    157.34/217.22 = 99.20/x
  3. Step 3: Cross multiply
    157.34x = 217.22 × 99.20
  4. Step 4: Simplify right side
    157.34x = 21,548.22
  5. Step 5: Solve for x
    x = 21,548.22/157.34
  6. Step 6: Final answer
    x = 136.95

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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.