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Finding the Fourth Proportional to 125.93, 189.68 and 119.10

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Solution

The fourth proportional to 125.93, 189.68 and 119.10 is: 179.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.93 : 189.68 = 119.10 : x
  2. Step 2: Convert to fraction form
    125.93/189.68 = 119.10/x
  3. Step 3: Cross multiply
    125.93x = 189.68 × 119.10
  4. Step 4: Simplify right side
    125.93x = 22,590.29
  5. Step 5: Solve for x
    x = 22,590.29/125.93
  6. Step 6: Final answer
    x = 179.39

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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.