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Finding the Fourth Proportional to 106.13, 146.31 and 74.95

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Solution

The fourth proportional to 106.13, 146.31 and 74.95 is: 103.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.13 : 146.31 = 74.95 : x
  2. Step 2: Convert to fraction form
    106.13/146.31 = 74.95/x
  3. Step 3: Cross multiply
    106.13x = 146.31 × 74.95
  4. Step 4: Simplify right side
    106.13x = 10,965.84
  5. Step 5: Solve for x
    x = 10,965.84/106.13
  6. Step 6: Final answer
    x = 103.32

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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.