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Finding the Fourth Proportional to 135.54, 184.50 and 135.14

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Solution

The fourth proportional to 135.54, 184.50 and 135.14 is: 183.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.54 : 184.50 = 135.14 : x
  2. Step 2: Convert to fraction form
    135.54/184.50 = 135.14/x
  3. Step 3: Cross multiply
    135.54x = 184.50 × 135.14
  4. Step 4: Simplify right side
    135.54x = 24,932.41
  5. Step 5: Solve for x
    x = 24,932.41/135.54
  6. Step 6: Final answer
    x = 183.95

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.