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Finding the Fourth Proportional to 130.19, 195.32 and 49.07

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Solution

The fourth proportional to 130.19, 195.32 and 49.07 is: 73.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.19 : 195.32 = 49.07 : x
  2. Step 2: Convert to fraction form
    130.19/195.32 = 49.07/x
  3. Step 3: Cross multiply
    130.19x = 195.32 × 49.07
  4. Step 4: Simplify right side
    130.19x = 9,584.96
  5. Step 5: Solve for x
    x = 9,584.96/130.19
  6. Step 6: Final answer
    x = 73.63

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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.