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Finding the Fourth Proportional to 106.19, 159.22 and 77.63

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Solution

The fourth proportional to 106.19, 159.22 and 77.63 is: 116.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.19 : 159.22 = 77.63 : x
  2. Step 2: Convert to fraction form
    106.19/159.22 = 77.63/x
  3. Step 3: Cross multiply
    106.19x = 159.22 × 77.63
  4. Step 4: Simplify right side
    106.19x = 12,359.26
  5. Step 5: Solve for x
    x = 12,359.26/106.19
  6. Step 6: Final answer
    x = 116.39

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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.