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Finding the Fourth Proportional to 99.94, 149.77 and 54.22

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Solution

The fourth proportional to 99.94, 149.77 and 54.22 is: 81.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.94 : 149.77 = 54.22 : x
  2. Step 2: Convert to fraction form
    99.94/149.77 = 54.22/x
  3. Step 3: Cross multiply
    99.94x = 149.77 × 54.22
  4. Step 4: Simplify right side
    99.94x = 8,120.53
  5. Step 5: Solve for x
    x = 8,120.53/99.94
  6. Step 6: Final answer
    x = 81.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.