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Finding the Fourth Proportional to 92.18, 126.46 and 90.14

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Solution

The fourth proportional to 92.18, 126.46 and 90.14 is: 123.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.18 : 126.46 = 90.14 : x
  2. Step 2: Convert to fraction form
    92.18/126.46 = 90.14/x
  3. Step 3: Cross multiply
    92.18x = 126.46 × 90.14
  4. Step 4: Simplify right side
    92.18x = 11,399.10
  5. Step 5: Solve for x
    x = 11,399.10/92.18
  6. Step 6: Final answer
    x = 123.66

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.