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Finding the Fourth Proportional to 130, 195.11 and 75.93

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Solution

The fourth proportional to 130, 195.11 and 75.93 is: 113.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    130 : 195.11 = 75.93 : x
  2. Step 2: Convert to fraction form
    130/195.11 = 75.93/x
  3. Step 3: Cross multiply
    130x = 195.11 × 75.93
  4. Step 4: Simplify right side
    130x = 14,814.70
  5. Step 5: Solve for x
    x = 14,814.70/130
  6. Step 6: Final answer
    x = 113.96

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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.