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Finding the Fourth Proportional to 157.54, 217.41 and 108.46

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Solution

The fourth proportional to 157.54, 217.41 and 108.46 is: 149.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.54 : 217.41 = 108.46 : x
  2. Step 2: Convert to fraction form
    157.54/217.41 = 108.46/x
  3. Step 3: Cross multiply
    157.54x = 217.41 × 108.46
  4. Step 4: Simplify right side
    157.54x = 23,580.29
  5. Step 5: Solve for x
    x = 23,580.29/157.54
  6. Step 6: Final answer
    x = 149.68

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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.