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Finding the Fourth Proportional to 126.80, 189.40 and 90.36

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Solution

The fourth proportional to 126.80, 189.40 and 90.36 is: 134.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.80 : 189.40 = 90.36 : x
  2. Step 2: Convert to fraction form
    126.80/189.40 = 90.36/x
  3. Step 3: Cross multiply
    126.80x = 189.40 × 90.36
  4. Step 4: Simplify right side
    126.80x = 17,114.18
  5. Step 5: Solve for x
    x = 17,114.18/126.80
  6. Step 6: Final answer
    x = 134.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.