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Finding the Fourth Proportional to 94.45, 130.26 and 77.98

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Solution

The fourth proportional to 94.45, 130.26 and 77.98 is: 107.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.45 : 130.26 = 77.98 : x
  2. Step 2: Convert to fraction form
    94.45/130.26 = 77.98/x
  3. Step 3: Cross multiply
    94.45x = 130.26 × 77.98
  4. Step 4: Simplify right side
    94.45x = 10,157.67
  5. Step 5: Solve for x
    x = 10,157.67/94.45
  6. Step 6: Final answer
    x = 107.55

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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.