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Finding the Fourth Proportional to 94.78, 130.80 and 75.34

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Solution

The fourth proportional to 94.78, 130.80 and 75.34 is: 103.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.78 : 130.80 = 75.34 : x
  2. Step 2: Convert to fraction form
    94.78/130.80 = 75.34/x
  3. Step 3: Cross multiply
    94.78x = 130.80 × 75.34
  4. Step 4: Simplify right side
    94.78x = 9,854.47
  5. Step 5: Solve for x
    x = 9,854.47/94.78
  6. Step 6: Final answer
    x = 103.97

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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.