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Finding the Fourth Proportional to 134.64, 186.12 and 120

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Solution

The fourth proportional to 134.64, 186.12 and 120 is: 165.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.64 : 186.12 = 120 : x
  2. Step 2: Convert to fraction form
    134.64/186.12 = 120/x
  3. Step 3: Cross multiply
    134.64x = 186.12 × 120
  4. Step 4: Simplify right side
    134.64x = 22,334.40
  5. Step 5: Solve for x
    x = 22,334.40/134.64
  6. Step 6: Final answer
    x = 165.88

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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.