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Finding the Fourth Proportional to 134.85, 186.09 and 76.63

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Solution

The fourth proportional to 134.85, 186.09 and 76.63 is: 105.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.85 : 186.09 = 76.63 : x
  2. Step 2: Convert to fraction form
    134.85/186.09 = 76.63/x
  3. Step 3: Cross multiply
    134.85x = 186.09 × 76.63
  4. Step 4: Simplify right side
    134.85x = 14,259.15
  5. Step 5: Solve for x
    x = 14,259.15/134.85
  6. Step 6: Final answer
    x = 105.74

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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.