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Finding the Fourth Proportional to 92.41, 127.64 and 83.16

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Solution

The fourth proportional to 92.41, 127.64 and 83.16 is: 114.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.41 : 127.64 = 83.16 : x
  2. Step 2: Convert to fraction form
    92.41/127.64 = 83.16/x
  3. Step 3: Cross multiply
    92.41x = 127.64 × 83.16
  4. Step 4: Simplify right side
    92.41x = 10,614.75
  5. Step 5: Solve for x
    x = 10,614.75/92.41
  6. Step 6: Final answer
    x = 114.87

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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.