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Finding the Fourth Proportional to 125.94, 189.63 and 116.43

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Solution

The fourth proportional to 125.94, 189.63 and 116.43 is: 175.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.94 : 189.63 = 116.43 : x
  2. Step 2: Convert to fraction form
    125.94/189.63 = 116.43/x
  3. Step 3: Cross multiply
    125.94x = 189.63 × 116.43
  4. Step 4: Simplify right side
    125.94x = 22,078.62
  5. Step 5: Solve for x
    x = 22,078.62/125.94
  6. Step 6: Final answer
    x = 175.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.