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Finding the Fourth Proportional to 106.29, 159.35 and 52.22

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Solution

The fourth proportional to 106.29, 159.35 and 52.22 is: 78.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.29 : 159.35 = 52.22 : x
  2. Step 2: Convert to fraction form
    106.29/159.35 = 52.22/x
  3. Step 3: Cross multiply
    106.29x = 159.35 × 52.22
  4. Step 4: Simplify right side
    106.29x = 8,320.86
  5. Step 5: Solve for x
    x = 8,320.86/106.29
  6. Step 6: Final answer
    x = 78.29

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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.