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Finding the Fourth Proportional to 146.40, 219.63 and 43.71

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Solution

The fourth proportional to 146.40, 219.63 and 43.71 is: 65.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.40 : 219.63 = 43.71 : x
  2. Step 2: Convert to fraction form
    146.40/219.63 = 43.71/x
  3. Step 3: Cross multiply
    146.40x = 219.63 × 43.71
  4. Step 4: Simplify right side
    146.40x = 9,600.03
  5. Step 5: Solve for x
    x = 9,600.03/146.40
  6. Step 6: Final answer
    x = 65.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.