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Finding the Fourth Proportional to 106.60, 146.94 and 89.17

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Solution

The fourth proportional to 106.60, 146.94 and 89.17 is: 122.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.60 : 146.94 = 89.17 : x
  2. Step 2: Convert to fraction form
    106.60/146.94 = 89.17/x
  3. Step 3: Cross multiply
    106.60x = 146.94 × 89.17
  4. Step 4: Simplify right side
    106.60x = 13,103.23
  5. Step 5: Solve for x
    x = 13,103.23/106.60
  6. Step 6: Final answer
    x = 122.92

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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.