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Finding the Fourth Proportional to 157.42, 217.16 and 108.22

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Solution

The fourth proportional to 157.42, 217.16 and 108.22 is: 149.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.42 : 217.16 = 108.22 : x
  2. Step 2: Convert to fraction form
    157.42/217.16 = 108.22/x
  3. Step 3: Cross multiply
    157.42x = 217.16 × 108.22
  4. Step 4: Simplify right side
    157.42x = 23,501.06
  5. Step 5: Solve for x
    x = 23,501.06/157.42
  6. Step 6: Final answer
    x = 149.29

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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.