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Finding the Fourth Proportional to 146.23, 219.45 and 65.03

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Solution

The fourth proportional to 146.23, 219.45 and 65.03 is: 97.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.23 : 219.45 = 65.03 : x
  2. Step 2: Convert to fraction form
    146.23/219.45 = 65.03/x
  3. Step 3: Cross multiply
    146.23x = 219.45 × 65.03
  4. Step 4: Simplify right side
    146.23x = 14,270.83
  5. Step 5: Solve for x
    x = 14,270.83/146.23
  6. Step 6: Final answer
    x = 97.59

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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.