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Finding the Fourth Proportional to 157.78, 217.66 and 108.57

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Solution

The fourth proportional to 157.78, 217.66 and 108.57 is: 149.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.78 : 217.66 = 108.57 : x
  2. Step 2: Convert to fraction form
    157.78/217.66 = 108.57/x
  3. Step 3: Cross multiply
    157.78x = 217.66 × 108.57
  4. Step 4: Simplify right side
    157.78x = 23,631.35
  5. Step 5: Solve for x
    x = 23,631.35/157.78
  6. Step 6: Final answer
    x = 149.77

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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.