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Finding the Fourth Proportional to 130.38, 195.54 and 53.42

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Solution

The fourth proportional to 130.38, 195.54 and 53.42 is: 80.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.38 : 195.54 = 53.42 : x
  2. Step 2: Convert to fraction form
    130.38/195.54 = 53.42/x
  3. Step 3: Cross multiply
    130.38x = 195.54 × 53.42
  4. Step 4: Simplify right side
    130.38x = 10,444.77
  5. Step 5: Solve for x
    x = 10,444.77/130.38
  6. Step 6: Final answer
    x = 80.11

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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.