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Finding the Fourth Proportional to 157.74, 217.59 and 92.23

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Solution

The fourth proportional to 157.74, 217.59 and 92.23 is: 127.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.74 : 217.59 = 92.23 : x
  2. Step 2: Convert to fraction form
    157.74/217.59 = 92.23/x
  3. Step 3: Cross multiply
    157.74x = 217.59 × 92.23
  4. Step 4: Simplify right side
    157.74x = 20,068.33
  5. Step 5: Solve for x
    x = 20,068.33/157.74
  6. Step 6: Final answer
    x = 127.22

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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.