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Finding the Fourth Proportional to 119.16, 178.66 and 100.02

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Solution

The fourth proportional to 119.16, 178.66 and 100.02 is: 149.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.16 : 178.66 = 100.02 : x
  2. Step 2: Convert to fraction form
    119.16/178.66 = 100.02/x
  3. Step 3: Cross multiply
    119.16x = 178.66 × 100.02
  4. Step 4: Simplify right side
    119.16x = 17,869.57
  5. Step 5: Solve for x
    x = 17,869.57/119.16
  6. Step 6: Final answer
    x = 149.96

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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.