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Finding the Fourth Proportional to 126.39, 189.54 and 77.63

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Solution

The fourth proportional to 126.39, 189.54 and 77.63 is: 116.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.39 : 189.54 = 77.63 : x
  2. Step 2: Convert to fraction form
    126.39/189.54 = 77.63/x
  3. Step 3: Cross multiply
    126.39x = 189.54 × 77.63
  4. Step 4: Simplify right side
    126.39x = 14,714.17
  5. Step 5: Solve for x
    x = 14,714.17/126.39
  6. Step 6: Final answer
    x = 116.42

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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.