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Finding the Fourth Proportional to 129.84, 195.24 and 120

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Solution

The fourth proportional to 129.84, 195.24 and 120 is: 180.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.84 : 195.24 = 120 : x
  2. Step 2: Convert to fraction form
    129.84/195.24 = 120/x
  3. Step 3: Cross multiply
    129.84x = 195.24 × 120
  4. Step 4: Simplify right side
    129.84x = 23,428.80
  5. Step 5: Solve for x
    x = 23,428.80/129.84
  6. Step 6: Final answer
    x = 180.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.