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Finding the Fourth Proportional to 130.01, 195.14 and 75.94

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Solution

The fourth proportional to 130.01, 195.14 and 75.94 is: 113.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.01 : 195.14 = 75.94 : x
  2. Step 2: Convert to fraction form
    130.01/195.14 = 75.94/x
  3. Step 3: Cross multiply
    130.01x = 195.14 × 75.94
  4. Step 4: Simplify right side
    130.01x = 14,818.63
  5. Step 5: Solve for x
    x = 14,818.63/130.01
  6. Step 6: Final answer
    x = 113.99

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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.