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Finding the Fourth Proportional to 106.39, 159.62 and 65.84

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Solution

The fourth proportional to 106.39, 159.62 and 65.84 is: 98.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.39 : 159.62 = 65.84 : x
  2. Step 2: Convert to fraction form
    106.39/159.62 = 65.84/x
  3. Step 3: Cross multiply
    106.39x = 159.62 × 65.84
  4. Step 4: Simplify right side
    106.39x = 10,508.25
  5. Step 5: Solve for x
    x = 10,508.25/106.39
  6. Step 6: Final answer
    x = 98.77

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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.