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Finding the Fourth Proportional to 119.19, 178.57 and 100.06

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Solution

The fourth proportional to 119.19, 178.57 and 100.06 is: 149.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.19 : 178.57 = 100.06 : x
  2. Step 2: Convert to fraction form
    119.19/178.57 = 100.06/x
  3. Step 3: Cross multiply
    119.19x = 178.57 × 100.06
  4. Step 4: Simplify right side
    119.19x = 17,867.71
  5. Step 5: Solve for x
    x = 17,867.71/119.19
  6. Step 6: Final answer
    x = 149.91

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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.