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Finding the Fourth Proportional to 106.43, 158.92 and 91.19

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Solution

The fourth proportional to 106.43, 158.92 and 91.19 is: 136.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.43 : 158.92 = 91.19 : x
  2. Step 2: Convert to fraction form
    106.43/158.92 = 91.19/x
  3. Step 3: Cross multiply
    106.43x = 158.92 × 91.19
  4. Step 4: Simplify right side
    106.43x = 14,491.91
  5. Step 5: Solve for x
    x = 14,491.91/106.43
  6. Step 6: Final answer
    x = 136.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.