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Finding the Fourth Proportional to 92.12, 126.96 and 64.46

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Solution

The fourth proportional to 92.12, 126.96 and 64.46 is: 88.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.12 : 126.96 = 64.46 : x
  2. Step 2: Convert to fraction form
    92.12/126.96 = 64.46/x
  3. Step 3: Cross multiply
    92.12x = 126.96 × 64.46
  4. Step 4: Simplify right side
    92.12x = 8,183.84
  5. Step 5: Solve for x
    x = 8,183.84/92.12
  6. Step 6: Final answer
    x = 88.84

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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.