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Finding the Fourth Proportional to 102.94, 154.64 and 75.61

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Solution

The fourth proportional to 102.94, 154.64 and 75.61 is: 113.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.94 : 154.64 = 75.61 : x
  2. Step 2: Convert to fraction form
    102.94/154.64 = 75.61/x
  3. Step 3: Cross multiply
    102.94x = 154.64 × 75.61
  4. Step 4: Simplify right side
    102.94x = 11,692.33
  5. Step 5: Solve for x
    x = 11,692.33/102.94
  6. Step 6: Final answer
    x = 113.58

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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.