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Finding the Fourth Proportional to 106.36, 146.46 and 106

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Solution

The fourth proportional to 106.36, 146.46 and 106 is: 145.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.36 : 146.46 = 106 : x
  2. Step 2: Convert to fraction form
    106.36/146.46 = 106/x
  3. Step 3: Cross multiply
    106.36x = 146.46 × 106
  4. Step 4: Simplify right side
    106.36x = 15,524.76
  5. Step 5: Solve for x
    x = 15,524.76/106.36
  6. Step 6: Final answer
    x = 145.96

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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.