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Finding the Fourth Proportional to 105.37, 158.06 and 65.05

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Solution

The fourth proportional to 105.37, 158.06 and 65.05 is: 97.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.37 : 158.06 = 65.05 : x
  2. Step 2: Convert to fraction form
    105.37/158.06 = 65.05/x
  3. Step 3: Cross multiply
    105.37x = 158.06 × 65.05
  4. Step 4: Simplify right side
    105.37x = 10,281.80
  5. Step 5: Solve for x
    x = 10,281.80/105.37
  6. Step 6: Final answer
    x = 97.58

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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.