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Finding the Fourth Proportional to 92.12, 127.23 and 79.34

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Solution

The fourth proportional to 92.12, 127.23 and 79.34 is: 109.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.12 : 127.23 = 79.34 : x
  2. Step 2: Convert to fraction form
    92.12/127.23 = 79.34/x
  3. Step 3: Cross multiply
    92.12x = 127.23 × 79.34
  4. Step 4: Simplify right side
    92.12x = 10,094.43
  5. Step 5: Solve for x
    x = 10,094.43/92.12
  6. Step 6: Final answer
    x = 109.58

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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.