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Finding the Fourth Proportional to 105.94, 146.37 and 88.90

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Solution

The fourth proportional to 105.94, 146.37 and 88.90 is: 122.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.94 : 146.37 = 88.90 : x
  2. Step 2: Convert to fraction form
    105.94/146.37 = 88.90/x
  3. Step 3: Cross multiply
    105.94x = 146.37 × 88.90
  4. Step 4: Simplify right side
    105.94x = 13,012.29
  5. Step 5: Solve for x
    x = 13,012.29/105.94
  6. Step 6: Final answer
    x = 122.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.