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Finding the Fourth Proportional to 92.09, 127.06 and 72.74

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Solution

The fourth proportional to 92.09, 127.06 and 72.74 is: 100.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.09 : 127.06 = 72.74 : x
  2. Step 2: Convert to fraction form
    92.09/127.06 = 72.74/x
  3. Step 3: Cross multiply
    92.09x = 127.06 × 72.74
  4. Step 4: Simplify right side
    92.09x = 9,241.53
  5. Step 5: Solve for x
    x = 9,241.53/92.09
  6. Step 6: Final answer
    x = 100.36

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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.