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Finding the Fourth Proportional to 105.64, 158.16 and 73.56

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Solution

The fourth proportional to 105.64, 158.16 and 73.56 is: 110.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.64 : 158.16 = 73.56 : x
  2. Step 2: Convert to fraction form
    105.64/158.16 = 73.56/x
  3. Step 3: Cross multiply
    105.64x = 158.16 × 73.56
  4. Step 4: Simplify right side
    105.64x = 11,634.25
  5. Step 5: Solve for x
    x = 11,634.25/105.64
  6. Step 6: Final answer
    x = 110.13

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