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Finding the Fourth Proportional to 126.09, 189.14 and 90.23

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Solution

The fourth proportional to 126.09, 189.14 and 90.23 is: 135.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.09 : 189.14 = 90.23 : x
  2. Step 2: Convert to fraction form
    126.09/189.14 = 90.23/x
  3. Step 3: Cross multiply
    126.09x = 189.14 × 90.23
  4. Step 4: Simplify right side
    126.09x = 17,064.71
  5. Step 5: Solve for x
    x = 17,064.71/126.09
  6. Step 6: Final answer
    x = 135.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.