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Finding the Fourth Proportional to 105.41, 145.19 and 91.61

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Solution

The fourth proportional to 105.41, 145.19 and 91.61 is: 126.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.41 : 145.19 = 91.61 : x
  2. Step 2: Convert to fraction form
    105.41/145.19 = 91.61/x
  3. Step 3: Cross multiply
    105.41x = 145.19 × 91.61
  4. Step 4: Simplify right side
    105.41x = 13,300.40
  5. Step 5: Solve for x
    x = 13,300.40/105.41
  6. Step 6: Final answer
    x = 126.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.