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Finding the Fourth Proportional to 134.51, 185.63 and 133.09

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Solution

The fourth proportional to 134.51, 185.63 and 133.09 is: 183.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.51 : 185.63 = 133.09 : x
  2. Step 2: Convert to fraction form
    134.51/185.63 = 133.09/x
  3. Step 3: Cross multiply
    134.51x = 185.63 × 133.09
  4. Step 4: Simplify right side
    134.51x = 24,704.37
  5. Step 5: Solve for x
    x = 24,704.37/134.51
  6. Step 6: Final answer
    x = 183.67

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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.