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Finding the Fourth Proportional to 126.58, 189.84 and 41.08

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Solution

The fourth proportional to 126.58, 189.84 and 41.08 is: 61.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.58 : 189.84 = 41.08 : x
  2. Step 2: Convert to fraction form
    126.58/189.84 = 41.08/x
  3. Step 3: Cross multiply
    126.58x = 189.84 × 41.08
  4. Step 4: Simplify right side
    126.58x = 7,798.63
  5. Step 5: Solve for x
    x = 7,798.63/126.58
  6. Step 6: Final answer
    x = 61.61

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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.