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Finding the Fourth Proportional to 106.19, 159.26 and 77.64

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Solution

The fourth proportional to 106.19, 159.26 and 77.64 is: 116.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.19 : 159.26 = 77.64 : x
  2. Step 2: Convert to fraction form
    106.19/159.26 = 77.64/x
  3. Step 3: Cross multiply
    106.19x = 159.26 × 77.64
  4. Step 4: Simplify right side
    106.19x = 12,365.14
  5. Step 5: Solve for x
    x = 12,365.14/106.19
  6. Step 6: Final answer
    x = 116.44

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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.