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Finding the Fourth Proportional to 92.11, 126.93 and 65.84

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Solution

The fourth proportional to 92.11, 126.93 and 65.84 is: 90.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.11 : 126.93 = 65.84 : x
  2. Step 2: Convert to fraction form
    92.11/126.93 = 65.84/x
  3. Step 3: Cross multiply
    92.11x = 126.93 × 65.84
  4. Step 4: Simplify right side
    92.11x = 8,357.32
  5. Step 5: Solve for x
    x = 8,357.32/92.11
  6. Step 6: Final answer
    x = 90.73

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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.