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Finding the Fourth Proportional to 112.41, 155.21 and 77.50

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Solution

The fourth proportional to 112.41, 155.21 and 77.50 is: 107.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.41 : 155.21 = 77.50 : x
  2. Step 2: Convert to fraction form
    112.41/155.21 = 77.50/x
  3. Step 3: Cross multiply
    112.41x = 155.21 × 77.50
  4. Step 4: Simplify right side
    112.41x = 12,028.00
  5. Step 5: Solve for x
    x = 12,028.00/112.41
  6. Step 6: Final answer
    x = 107.00

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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.