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Finding the Fourth Proportional to 157.68, 217.35 and 116.17

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Solution

The fourth proportional to 157.68, 217.35 and 116.17 is: 160.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.68 : 217.35 = 116.17 : x
  2. Step 2: Convert to fraction form
    157.68/217.35 = 116.17/x
  3. Step 3: Cross multiply
    157.68x = 217.35 × 116.17
  4. Step 4: Simplify right side
    157.68x = 25,249.01
  5. Step 5: Solve for x
    x = 25,249.01/157.68
  6. Step 6: Final answer
    x = 160.13

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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.