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Finding the Fourth Proportional to 105.14, 157.16 and 95.96

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Solution

The fourth proportional to 105.14, 157.16 and 95.96 is: 143.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.14 : 157.16 = 95.96 : x
  2. Step 2: Convert to fraction form
    105.14/157.16 = 95.96/x
  3. Step 3: Cross multiply
    105.14x = 157.16 × 95.96
  4. Step 4: Simplify right side
    105.14x = 15,081.07
  5. Step 5: Solve for x
    x = 15,081.07/105.14
  6. Step 6: Final answer
    x = 143.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.