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Finding the Fourth Proportional to 106.62, 147.20 and 99.33

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Solution

The fourth proportional to 106.62, 147.20 and 99.33 is: 137.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.62 : 147.20 = 99.33 : x
  2. Step 2: Convert to fraction form
    106.62/147.20 = 99.33/x
  3. Step 3: Cross multiply
    106.62x = 147.20 × 99.33
  4. Step 4: Simplify right side
    106.62x = 14,620.88
  5. Step 5: Solve for x
    x = 14,620.88/106.62
  6. Step 6: Final answer
    x = 137.13

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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.