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Finding the Fourth Proportional to 137.61, 188.69 and 133.56

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Solution

The fourth proportional to 137.61, 188.69 and 133.56 is: 183.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.61 : 188.69 = 133.56 : x
  2. Step 2: Convert to fraction form
    137.61/188.69 = 133.56/x
  3. Step 3: Cross multiply
    137.61x = 188.69 × 133.56
  4. Step 4: Simplify right side
    137.61x = 25,200.77
  5. Step 5: Solve for x
    x = 25,200.77/137.61
  6. Step 6: Final answer
    x = 183.13

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.