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Finding the Fourth Proportional to 94.17, 130.08 and 75.82

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Solution

The fourth proportional to 94.17, 130.08 and 75.82 is: 104.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.17 : 130.08 = 75.82 : x
  2. Step 2: Convert to fraction form
    94.17/130.08 = 75.82/x
  3. Step 3: Cross multiply
    94.17x = 130.08 × 75.82
  4. Step 4: Simplify right side
    94.17x = 9,862.66
  5. Step 5: Solve for x
    x = 9,862.66/94.17
  6. Step 6: Final answer
    x = 104.73

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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.