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Finding the Fourth Proportional to 135.94, 204.03 and 74.99

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Solution

The fourth proportional to 135.94, 204.03 and 74.99 is: 112.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.94 : 204.03 = 74.99 : x
  2. Step 2: Convert to fraction form
    135.94/204.03 = 74.99/x
  3. Step 3: Cross multiply
    135.94x = 204.03 × 74.99
  4. Step 4: Simplify right side
    135.94x = 15,300.21
  5. Step 5: Solve for x
    x = 15,300.21/135.94
  6. Step 6: Final answer
    x = 112.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.