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Finding the Fourth Proportional to 110.26, 152.13 and 77.11

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Solution

The fourth proportional to 110.26, 152.13 and 77.11 is: 106.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.26 : 152.13 = 77.11 : x
  2. Step 2: Convert to fraction form
    110.26/152.13 = 77.11/x
  3. Step 3: Cross multiply
    110.26x = 152.13 × 77.11
  4. Step 4: Simplify right side
    110.26x = 11,730.74
  5. Step 5: Solve for x
    x = 11,730.74/110.26
  6. Step 6: Final answer
    x = 106.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.