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Finding the Fourth Proportional to 157.85, 217.77 and 108.84

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Solution

The fourth proportional to 157.85, 217.77 and 108.84 is: 150.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.85 : 217.77 = 108.84 : x
  2. Step 2: Convert to fraction form
    157.85/217.77 = 108.84/x
  3. Step 3: Cross multiply
    157.85x = 217.77 × 108.84
  4. Step 4: Simplify right side
    157.85x = 23,702.09
  5. Step 5: Solve for x
    x = 23,702.09/157.85
  6. Step 6: Final answer
    x = 150.16

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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.