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Finding the Fourth Proportional to 126.23, 189.17 and 65.34

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Solution

The fourth proportional to 126.23, 189.17 and 65.34 is: 97.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.23 : 189.17 = 65.34 : x
  2. Step 2: Convert to fraction form
    126.23/189.17 = 65.34/x
  3. Step 3: Cross multiply
    126.23x = 189.17 × 65.34
  4. Step 4: Simplify right side
    126.23x = 12,360.29
  5. Step 5: Solve for x
    x = 12,360.29/126.23
  6. Step 6: Final answer
    x = 97.92

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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.