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Finding the Fourth Proportional to 119.40, 177.91 and 106.63

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Solution

The fourth proportional to 119.40, 177.91 and 106.63 is: 158.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.40 : 177.91 = 106.63 : x
  2. Step 2: Convert to fraction form
    119.40/177.91 = 106.63/x
  3. Step 3: Cross multiply
    119.40x = 177.91 × 106.63
  4. Step 4: Simplify right side
    119.40x = 18,970.54
  5. Step 5: Solve for x
    x = 18,970.54/119.40
  6. Step 6: Final answer
    x = 158.88

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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.