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Finding the Fourth Proportional to 139.82, 193.03 and 110.26

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Solution

The fourth proportional to 139.82, 193.03 and 110.26 is: 152.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.82 : 193.03 = 110.26 : x
  2. Step 2: Convert to fraction form
    139.82/193.03 = 110.26/x
  3. Step 3: Cross multiply
    139.82x = 193.03 × 110.26
  4. Step 4: Simplify right side
    139.82x = 21,283.49
  5. Step 5: Solve for x
    x = 21,283.49/139.82
  6. Step 6: Final answer
    x = 152.22

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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.