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Finding the Fourth Proportional to 94.82, 130.50 and 77.24

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Solution

The fourth proportional to 94.82, 130.50 and 77.24 is: 106.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.82 : 130.50 = 77.24 : x
  2. Step 2: Convert to fraction form
    94.82/130.50 = 77.24/x
  3. Step 3: Cross multiply
    94.82x = 130.50 × 77.24
  4. Step 4: Simplify right side
    94.82x = 10,079.82
  5. Step 5: Solve for x
    x = 10,079.82/94.82
  6. Step 6: Final answer
    x = 106.30

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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.