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Finding the Fourth Proportional to 106.01, 146.31 and 73.31

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Solution

The fourth proportional to 106.01, 146.31 and 73.31 is: 101.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.01 : 146.31 = 73.31 : x
  2. Step 2: Convert to fraction form
    106.01/146.31 = 73.31/x
  3. Step 3: Cross multiply
    106.01x = 146.31 × 73.31
  4. Step 4: Simplify right side
    106.01x = 10,724.98
  5. Step 5: Solve for x
    x = 10,724.98/106.01
  6. Step 6: Final answer
    x = 101.17

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