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Finding the Fourth Proportional to 157.30, 217.14 and 122.34

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Solution

The fourth proportional to 157.30, 217.14 and 122.34 is: 168.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.30 : 217.14 = 122.34 : x
  2. Step 2: Convert to fraction form
    157.30/217.14 = 122.34/x
  3. Step 3: Cross multiply
    157.30x = 217.14 × 122.34
  4. Step 4: Simplify right side
    157.30x = 26,564.91
  5. Step 5: Solve for x
    x = 26,564.91/157.30
  6. Step 6: Final answer
    x = 168.88

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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.