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Finding the Fourth Proportional to 134.76, 186.02 and 120.36

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Solution

The fourth proportional to 134.76, 186.02 and 120.36 is: 166.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.76 : 186.02 = 120.36 : x
  2. Step 2: Convert to fraction form
    134.76/186.02 = 120.36/x
  3. Step 3: Cross multiply
    134.76x = 186.02 × 120.36
  4. Step 4: Simplify right side
    134.76x = 22,389.37
  5. Step 5: Solve for x
    x = 22,389.37/134.76
  6. Step 6: Final answer
    x = 166.14

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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.