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Finding the Fourth Proportional to 119.13, 177.83 and 105.45

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Solution

The fourth proportional to 119.13, 177.83 and 105.45 is: 157.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.13 : 177.83 = 105.45 : x
  2. Step 2: Convert to fraction form
    119.13/177.83 = 105.45/x
  3. Step 3: Cross multiply
    119.13x = 177.83 × 105.45
  4. Step 4: Simplify right side
    119.13x = 18,751.65
  5. Step 5: Solve for x
    x = 18,751.65/119.13
  6. Step 6: Final answer
    x = 157.40

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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.