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Finding the Fourth Proportional to 130.21, 195.38 and 49.07

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Solution

The fourth proportional to 130.21, 195.38 and 49.07 is: 73.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.21 : 195.38 = 49.07 : x
  2. Step 2: Convert to fraction form
    130.21/195.38 = 49.07/x
  3. Step 3: Cross multiply
    130.21x = 195.38 × 49.07
  4. Step 4: Simplify right side
    130.21x = 9,587.72
  5. Step 5: Solve for x
    x = 9,587.72/130.21
  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.