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Finding the Fourth Proportional to 146.31, 219.53 and 65.22

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Solution

The fourth proportional to 146.31, 219.53 and 65.22 is: 97.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.31 : 219.53 = 65.22 : x
  2. Step 2: Convert to fraction form
    146.31/219.53 = 65.22/x
  3. Step 3: Cross multiply
    146.31x = 219.53 × 65.22
  4. Step 4: Simplify right side
    146.31x = 14,317.75
  5. Step 5: Solve for x
    x = 14,317.75/146.31
  6. Step 6: Final answer
    x = 97.86

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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.