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Finding the Fourth Proportional to 94.62, 130.46 and 75.18

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Solution

The fourth proportional to 94.62, 130.46 and 75.18 is: 103.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.62 : 130.46 = 75.18 : x
  2. Step 2: Convert to fraction form
    94.62/130.46 = 75.18/x
  3. Step 3: Cross multiply
    94.62x = 130.46 × 75.18
  4. Step 4: Simplify right side
    94.62x = 9,807.98
  5. Step 5: Solve for x
    x = 9,807.98/94.62
  6. Step 6: Final answer
    x = 103.66

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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.