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Finding the Fourth Proportional to 146.08, 219 and 77.56

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Solution

The fourth proportional to 146.08, 219 and 77.56 is: 116.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.08 : 219 = 77.56 : x
  2. Step 2: Convert to fraction form
    146.08/219 = 77.56/x
  3. Step 3: Cross multiply
    146.08x = 219 × 77.56
  4. Step 4: Simplify right side
    146.08x = 16,985.64
  5. Step 5: Solve for x
    x = 16,985.64/146.08
  6. Step 6: Final answer
    x = 116.28

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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.