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Finding the Fourth Proportional to 105.06, 157.62 and 76.11

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Solution

The fourth proportional to 105.06, 157.62 and 76.11 is: 114.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.06 : 157.62 = 76.11 : x
  2. Step 2: Convert to fraction form
    105.06/157.62 = 76.11/x
  3. Step 3: Cross multiply
    105.06x = 157.62 × 76.11
  4. Step 4: Simplify right side
    105.06x = 11,996.46
  5. Step 5: Solve for x
    x = 11,996.46/105.06
  6. Step 6: Final answer
    x = 114.19

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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.