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Finding the Fourth Proportional to 129.53, 178.98 and 118.60

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Solution

The fourth proportional to 129.53, 178.98 and 118.60 is: 163.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.53 : 178.98 = 118.60 : x
  2. Step 2: Convert to fraction form
    129.53/178.98 = 118.60/x
  3. Step 3: Cross multiply
    129.53x = 178.98 × 118.60
  4. Step 4: Simplify right side
    129.53x = 21,226.14
  5. Step 5: Solve for x
    x = 21,226.14/129.53
  6. Step 6: Final answer
    x = 163.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.