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Finding the Fourth Proportional to 105.69, 157.76 and 92.03

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Solution

The fourth proportional to 105.69, 157.76 and 92.03 is: 137.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.69 : 157.76 = 92.03 : x
  2. Step 2: Convert to fraction form
    105.69/157.76 = 92.03/x
  3. Step 3: Cross multiply
    105.69x = 157.76 × 92.03
  4. Step 4: Simplify right side
    105.69x = 14,517.40
  5. Step 5: Solve for x
    x = 14,517.40/105.69
  6. Step 6: Final answer
    x = 137.36

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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.