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Finding the Fourth Proportional to 146, 218.82 and 85.16

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Solution

The fourth proportional to 146, 218.82 and 85.16 is: 127.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    146 : 218.82 = 85.16 : x
  2. Step 2: Convert to fraction form
    146/218.82 = 85.16/x
  3. Step 3: Cross multiply
    146x = 218.82 × 85.16
  4. Step 4: Simplify right side
    146x = 18,634.71
  5. Step 5: Solve for x
    x = 18,634.71/146
  6. Step 6: Final answer
    x = 127.64

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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.