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Finding the Fourth Proportional to 105.05, 157.22 and 64.27

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Solution

The fourth proportional to 105.05, 157.22 and 64.27 is: 96.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.05 : 157.22 = 64.27 : x
  2. Step 2: Convert to fraction form
    105.05/157.22 = 64.27/x
  3. Step 3: Cross multiply
    105.05x = 157.22 × 64.27
  4. Step 4: Simplify right side
    105.05x = 10,104.53
  5. Step 5: Solve for x
    x = 10,104.53/105.05
  6. Step 6: Final answer
    x = 96.19

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Why These Related Problems?

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