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Finding the Fourth Proportional to 130.41, 195.69 and 53.36

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Solution

The fourth proportional to 130.41, 195.69 and 53.36 is: 80.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.41 : 195.69 = 53.36 : x
  2. Step 2: Convert to fraction form
    130.41/195.69 = 53.36/x
  3. Step 3: Cross multiply
    130.41x = 195.69 × 53.36
  4. Step 4: Simplify right side
    130.41x = 10,442.02
  5. Step 5: Solve for x
    x = 10,442.02/130.41
  6. Step 6: Final answer
    x = 80.07

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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.