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Finding the Fourth Proportional to 118.56, 177.04 and 107.20

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Solution

The fourth proportional to 118.56, 177.04 and 107.20 is: 160.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.56 : 177.04 = 107.20 : x
  2. Step 2: Convert to fraction form
    118.56/177.04 = 107.20/x
  3. Step 3: Cross multiply
    118.56x = 177.04 × 107.20
  4. Step 4: Simplify right side
    118.56x = 18,978.69
  5. Step 5: Solve for x
    x = 18,978.69/118.56
  6. Step 6: Final answer
    x = 160.08

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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.