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Finding the Fourth Proportional to 120.29, 179.74 and 117.55

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Solution

The fourth proportional to 120.29, 179.74 and 117.55 is: 175.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.29 : 179.74 = 117.55 : x
  2. Step 2: Convert to fraction form
    120.29/179.74 = 117.55/x
  3. Step 3: Cross multiply
    120.29x = 179.74 × 117.55
  4. Step 4: Simplify right side
    120.29x = 21,129.14
  5. Step 5: Solve for x
    x = 21,129.14/120.29
  6. Step 6: Final answer
    x = 175.66

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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.