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Finding the Fourth Proportional to 146.03, 218.88 and 77.48

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Solution

The fourth proportional to 146.03, 218.88 and 77.48 is: 116.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.03 : 218.88 = 77.48 : x
  2. Step 2: Convert to fraction form
    146.03/218.88 = 77.48/x
  3. Step 3: Cross multiply
    146.03x = 218.88 × 77.48
  4. Step 4: Simplify right side
    146.03x = 16,958.82
  5. Step 5: Solve for x
    x = 16,958.82/146.03
  6. Step 6: Final answer
    x = 116.14

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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.