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Finding the Fourth Proportional to 119.46, 178.22 and 100.33

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Solution

The fourth proportional to 119.46, 178.22 and 100.33 is: 149.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.46 : 178.22 = 100.33 : x
  2. Step 2: Convert to fraction form
    119.46/178.22 = 100.33/x
  3. Step 3: Cross multiply
    119.46x = 178.22 × 100.33
  4. Step 4: Simplify right side
    119.46x = 17,880.81
  5. Step 5: Solve for x
    x = 17,880.81/119.46
  6. Step 6: Final answer
    x = 149.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.