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Finding the Fourth Proportional to 92.46, 125.94 and 92.16

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Solution

The fourth proportional to 92.46, 125.94 and 92.16 is: 125.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.46 : 125.94 = 92.16 : x
  2. Step 2: Convert to fraction form
    92.46/125.94 = 92.16/x
  3. Step 3: Cross multiply
    92.46x = 125.94 × 92.16
  4. Step 4: Simplify right side
    92.46x = 11,606.63
  5. Step 5: Solve for x
    x = 11,606.63/92.46
  6. Step 6: Final answer
    x = 125.53

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.