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Finding the Fourth Proportional to 146.46, 219.61 and 65.23

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Solution

The fourth proportional to 146.46, 219.61 and 65.23 is: 97.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.46 : 219.61 = 65.23 : x
  2. Step 2: Convert to fraction form
    146.46/219.61 = 65.23/x
  3. Step 3: Cross multiply
    146.46x = 219.61 × 65.23
  4. Step 4: Simplify right side
    146.46x = 14,325.16
  5. Step 5: Solve for x
    x = 14,325.16/146.46
  6. Step 6: Final answer
    x = 97.81

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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.