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Finding the Fourth Proportional to 146.42, 219.49 and 77.84

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Solution

The fourth proportional to 146.42, 219.49 and 77.84 is: 116.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.42 : 219.49 = 77.84 : x
  2. Step 2: Convert to fraction form
    146.42/219.49 = 77.84/x
  3. Step 3: Cross multiply
    146.42x = 219.49 × 77.84
  4. Step 4: Simplify right side
    146.42x = 17,085.10
  5. Step 5: Solve for x
    x = 17,085.10/146.42
  6. Step 6: Final answer
    x = 116.69

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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.