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Finding the Fourth Proportional to 120.20, 179.42 and 117.50

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Solution

The fourth proportional to 120.20, 179.42 and 117.50 is: 175.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.20 : 179.42 = 117.50 : x
  2. Step 2: Convert to fraction form
    120.20/179.42 = 117.50/x
  3. Step 3: Cross multiply
    120.20x = 179.42 × 117.50
  4. Step 4: Simplify right side
    120.20x = 21,080.37
  5. Step 5: Solve for x
    x = 21,080.37/120.20
  6. Step 6: Final answer
    x = 175.38

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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.