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Finding the Fourth Proportional to 157.99, 217.93 and 92.48

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Solution

The fourth proportional to 157.99, 217.93 and 92.48 is: 127.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.99 : 217.93 = 92.48 : x
  2. Step 2: Convert to fraction form
    157.99/217.93 = 92.48/x
  3. Step 3: Cross multiply
    157.99x = 217.93 × 92.48
  4. Step 4: Simplify right side
    157.99x = 20,154.17
  5. Step 5: Solve for x
    x = 20,154.17/157.99
  6. Step 6: Final answer
    x = 127.57

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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.