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Finding the Fourth Proportional to 105.37, 158.25 and 97.07

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Solution

The fourth proportional to 105.37, 158.25 and 97.07 is: 145.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.37 : 158.25 = 97.07 : x
  2. Step 2: Convert to fraction form
    105.37/158.25 = 97.07/x
  3. Step 3: Cross multiply
    105.37x = 158.25 × 97.07
  4. Step 4: Simplify right side
    105.37x = 15,360.90
  5. Step 5: Solve for x
    x = 15,360.90/105.37
  6. Step 6: Final answer
    x = 145.78

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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.