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Finding the Fourth Proportional to 146.41, 219.42 and 65.16

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Solution

The fourth proportional to 146.41, 219.42 and 65.16 is: 97.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.41 : 219.42 = 65.16 : x
  2. Step 2: Convert to fraction form
    146.41/219.42 = 65.16/x
  3. Step 3: Cross multiply
    146.41x = 219.42 × 65.16
  4. Step 4: Simplify right side
    146.41x = 14,297.41
  5. Step 5: Solve for x
    x = 14,297.41/146.41
  6. Step 6: Final answer
    x = 97.65

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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.