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Finding the Fourth Proportional to 130.03, 195.28 and 76.27

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Solution

The fourth proportional to 130.03, 195.28 and 76.27 is: 114.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.03 : 195.28 = 76.27 : x
  2. Step 2: Convert to fraction form
    130.03/195.28 = 76.27/x
  3. Step 3: Cross multiply
    130.03x = 195.28 × 76.27
  4. Step 4: Simplify right side
    130.03x = 14,894.01
  5. Step 5: Solve for x
    x = 14,894.01/130.03
  6. Step 6: Final answer
    x = 114.54

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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.