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Finding the Fourth Proportional to 92.76, 127.47 and 83.64

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Solution

The fourth proportional to 92.76, 127.47 and 83.64 is: 114.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.76 : 127.47 = 83.64 : x
  2. Step 2: Convert to fraction form
    92.76/127.47 = 83.64/x
  3. Step 3: Cross multiply
    92.76x = 127.47 × 83.64
  4. Step 4: Simplify right side
    92.76x = 10,661.59
  5. Step 5: Solve for x
    x = 10,661.59/92.76
  6. Step 6: Final answer
    x = 114.94

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.