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Finding the Fourth Proportional to 94.63, 130.38 and 78.23

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Solution

The fourth proportional to 94.63, 130.38 and 78.23 is: 107.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.63 : 130.38 = 78.23 : x
  2. Step 2: Convert to fraction form
    94.63/130.38 = 78.23/x
  3. Step 3: Cross multiply
    94.63x = 130.38 × 78.23
  4. Step 4: Simplify right side
    94.63x = 10,199.63
  5. Step 5: Solve for x
    x = 10,199.63/94.63
  6. Step 6: Final answer
    x = 107.78

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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.