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Finding the Fourth Proportional to 146.13, 218.13 and 127.01

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Solution

The fourth proportional to 146.13, 218.13 and 127.01 is: 189.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.13 : 218.13 = 127.01 : x
  2. Step 2: Convert to fraction form
    146.13/218.13 = 127.01/x
  3. Step 3: Cross multiply
    146.13x = 218.13 × 127.01
  4. Step 4: Simplify right side
    146.13x = 27,704.69
  5. Step 5: Solve for x
    x = 27,704.69/146.13
  6. Step 6: Final answer
    x = 189.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.