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Finding the Fourth Proportional to 106.46, 147 and 75.44

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Solution

The fourth proportional to 106.46, 147 and 75.44 is: 104.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.46 : 147 = 75.44 : x
  2. Step 2: Convert to fraction form
    106.46/147 = 75.44/x
  3. Step 3: Cross multiply
    106.46x = 147 × 75.44
  4. Step 4: Simplify right side
    106.46x = 11,089.68
  5. Step 5: Solve for x
    x = 11,089.68/106.46
  6. Step 6: Final answer
    x = 104.17

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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.