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Finding the Fourth Proportional to 134.76, 185.76 and 107.22

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Solution

The fourth proportional to 134.76, 185.76 and 107.22 is: 147.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.76 : 185.76 = 107.22 : x
  2. Step 2: Convert to fraction form
    134.76/185.76 = 107.22/x
  3. Step 3: Cross multiply
    134.76x = 185.76 × 107.22
  4. Step 4: Simplify right side
    134.76x = 19,917.19
  5. Step 5: Solve for x
    x = 19,917.19/134.76
  6. Step 6: Final answer
    x = 147.80

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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.