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Finding the Fourth Proportional to 126.31, 189.42 and 68.53

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Solution

The fourth proportional to 126.31, 189.42 and 68.53 is: 102.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.31 : 189.42 = 68.53 : x
  2. Step 2: Convert to fraction form
    126.31/189.42 = 68.53/x
  3. Step 3: Cross multiply
    126.31x = 189.42 × 68.53
  4. Step 4: Simplify right side
    126.31x = 12,980.95
  5. Step 5: Solve for x
    x = 12,980.95/126.31
  6. Step 6: Final answer
    x = 102.77

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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.