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Finding the Fourth Proportional to 146.54, 219.64 and 76.94

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Solution

The fourth proportional to 146.54, 219.64 and 76.94 is: 115.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.54 : 219.64 = 76.94 : x
  2. Step 2: Convert to fraction form
    146.54/219.64 = 76.94/x
  3. Step 3: Cross multiply
    146.54x = 219.64 × 76.94
  4. Step 4: Simplify right side
    146.54x = 16,899.10
  5. Step 5: Solve for x
    x = 16,899.10/146.54
  6. Step 6: Final answer
    x = 115.32

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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.