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Finding the Fourth Proportional to 110.82, 152.12 and 101.10

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Solution

The fourth proportional to 110.82, 152.12 and 101.10 is: 138.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.82 : 152.12 = 101.10 : x
  2. Step 2: Convert to fraction form
    110.82/152.12 = 101.10/x
  3. Step 3: Cross multiply
    110.82x = 152.12 × 101.10
  4. Step 4: Simplify right side
    110.82x = 15,378.83
  5. Step 5: Solve for x
    x = 15,378.83/110.82
  6. Step 6: Final answer
    x = 138.77

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.