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Finding the Fourth Proportional to 105.39, 157.97 and 71.16

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Solution

The fourth proportional to 105.39, 157.97 and 71.16 is: 106.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.39 : 157.97 = 71.16 : x
  2. Step 2: Convert to fraction form
    105.39/157.97 = 71.16/x
  3. Step 3: Cross multiply
    105.39x = 157.97 × 71.16
  4. Step 4: Simplify right side
    105.39x = 11,240.79
  5. Step 5: Solve for x
    x = 11,240.79/105.39
  6. Step 6: Final answer
    x = 106.66

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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.