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Finding the Fourth Proportional to 94.50, 130.41 and 75.15

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Solution

The fourth proportional to 94.50, 130.41 and 75.15 is: 103.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.50 : 130.41 = 75.15 : x
  2. Step 2: Convert to fraction form
    94.50/130.41 = 75.15/x
  3. Step 3: Cross multiply
    94.50x = 130.41 × 75.15
  4. Step 4: Simplify right side
    94.50x = 9,800.31
  5. Step 5: Solve for x
    x = 9,800.31/94.50
  6. Step 6: Final answer
    x = 103.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.