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Finding the Fourth Proportional to 157.66, 217.34 and 116.14

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Solution

The fourth proportional to 157.66, 217.34 and 116.14 is: 160.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.66 : 217.34 = 116.14 : x
  2. Step 2: Convert to fraction form
    157.66/217.34 = 116.14/x
  3. Step 3: Cross multiply
    157.66x = 217.34 × 116.14
  4. Step 4: Simplify right side
    157.66x = 25,241.87
  5. Step 5: Solve for x
    x = 25,241.87/157.66
  6. Step 6: Final answer
    x = 160.10

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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.