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Finding the Fourth Proportional to 92.10, 126.96 and 75.71

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Solution

The fourth proportional to 92.10, 126.96 and 75.71 is: 104.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.10 : 126.96 = 75.71 : x
  2. Step 2: Convert to fraction form
    92.10/126.96 = 75.71/x
  3. Step 3: Cross multiply
    92.10x = 126.96 × 75.71
  4. Step 4: Simplify right side
    92.10x = 9,611.51
  5. Step 5: Solve for x
    x = 9,611.51/92.10
  6. Step 6: Final answer
    x = 104.36

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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.