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Finding the Fourth Proportional to 146.66, 220.02 and 43.93

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Solution

The fourth proportional to 146.66, 220.02 and 43.93 is: 65.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.66 : 220.02 = 43.93 : x
  2. Step 2: Convert to fraction form
    146.66/220.02 = 43.93/x
  3. Step 3: Cross multiply
    146.66x = 220.02 × 43.93
  4. Step 4: Simplify right side
    146.66x = 9,665.59
  5. Step 5: Solve for x
    x = 9,665.59/146.66
  6. Step 6: Final answer
    x = 65.91

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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.