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Finding the Fourth Proportional to 105.59, 146.71 and 104.46

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Solution

The fourth proportional to 105.59, 146.71 and 104.46 is: 145.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.59 : 146.71 = 104.46 : x
  2. Step 2: Convert to fraction form
    105.59/146.71 = 104.46/x
  3. Step 3: Cross multiply
    105.59x = 146.71 × 104.46
  4. Step 4: Simplify right side
    105.59x = 15,325.59
  5. Step 5: Solve for x
    x = 15,325.59/105.59
  6. Step 6: Final answer
    x = 145.15

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.