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Finding the Fourth Proportional to 75.06, 113.28 and 73.44

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Solution

The fourth proportional to 75.06, 113.28 and 73.44 is: 110.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.06 : 113.28 = 73.44 : x
  2. Step 2: Convert to fraction form
    75.06/113.28 = 73.44/x
  3. Step 3: Cross multiply
    75.06x = 113.28 × 73.44
  4. Step 4: Simplify right side
    75.06x = 8,319.28
  5. Step 5: Solve for x
    x = 8,319.28/75.06
  6. Step 6: Final answer
    x = 110.84

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.