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Finding the Fourth Proportional to 92.42, 127.22 and 81.50

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Solution

The fourth proportional to 92.42, 127.22 and 81.50 is: 112.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.42 : 127.22 = 81.50 : x
  2. Step 2: Convert to fraction form
    92.42/127.22 = 81.50/x
  3. Step 3: Cross multiply
    92.42x = 127.22 × 81.50
  4. Step 4: Simplify right side
    92.42x = 10,368.43
  5. Step 5: Solve for x
    x = 10,368.43/92.42
  6. Step 6: Final answer
    x = 112.19

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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.