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Finding the Fourth Proportional to 130.53, 195.84 and 49.41

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Solution

The fourth proportional to 130.53, 195.84 and 49.41 is: 74.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.53 : 195.84 = 49.41 : x
  2. Step 2: Convert to fraction form
    130.53/195.84 = 49.41/x
  3. Step 3: Cross multiply
    130.53x = 195.84 × 49.41
  4. Step 4: Simplify right side
    130.53x = 9,676.45
  5. Step 5: Solve for x
    x = 9,676.45/130.53
  6. Step 6: Final answer
    x = 74.13

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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.