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Finding the Fourth Proportional to 106.62, 146.94 and 88.20

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Solution

The fourth proportional to 106.62, 146.94 and 88.20 is: 121.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.62 : 146.94 = 88.20 : x
  2. Step 2: Convert to fraction form
    106.62/146.94 = 88.20/x
  3. Step 3: Cross multiply
    106.62x = 146.94 × 88.20
  4. Step 4: Simplify right side
    106.62x = 12,960.11
  5. Step 5: Solve for x
    x = 12,960.11/106.62
  6. Step 6: Final answer
    x = 121.55

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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.