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Finding the Fourth Proportional to 106.39, 159.36 and 52.17

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Solution

The fourth proportional to 106.39, 159.36 and 52.17 is: 78.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.39 : 159.36 = 52.17 : x
  2. Step 2: Convert to fraction form
    106.39/159.36 = 52.17/x
  3. Step 3: Cross multiply
    106.39x = 159.36 × 52.17
  4. Step 4: Simplify right side
    106.39x = 8,314.21
  5. Step 5: Solve for x
    x = 8,314.21/106.39
  6. Step 6: Final answer
    x = 78.15

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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.