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Finding the Fourth Proportional to 113.09, 155.98 and 75.73

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Solution

The fourth proportional to 113.09, 155.98 and 75.73 is: 104.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.09 : 155.98 = 75.73 : x
  2. Step 2: Convert to fraction form
    113.09/155.98 = 75.73/x
  3. Step 3: Cross multiply
    113.09x = 155.98 × 75.73
  4. Step 4: Simplify right side
    113.09x = 11,812.37
  5. Step 5: Solve for x
    x = 11,812.37/113.09
  6. Step 6: Final answer
    x = 104.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.