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Finding the Fourth Proportional to 134.94, 186.27 and 102.20

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Solution

The fourth proportional to 134.94, 186.27 and 102.20 is: 141.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.94 : 186.27 = 102.20 : x
  2. Step 2: Convert to fraction form
    134.94/186.27 = 102.20/x
  3. Step 3: Cross multiply
    134.94x = 186.27 × 102.20
  4. Step 4: Simplify right side
    134.94x = 19,035.86
  5. Step 5: Solve for x
    x = 19,035.86/134.94
  6. Step 6: Final answer
    x = 141.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.