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Finding the Fourth Proportional to 35.94, 49.61 and 30.46

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Solution

The fourth proportional to 35.94, 49.61 and 30.46 is: 42.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.94 : 49.61 = 30.46 : x
  2. Step 2: Convert to fraction form
    35.94/49.61 = 30.46/x
  3. Step 3: Cross multiply
    35.94x = 49.61 × 30.46
  4. Step 4: Simplify right side
    35.94x = 1,511.12
  5. Step 5: Solve for x
    x = 1,511.12/35.94
  6. Step 6: Final answer
    x = 42.05

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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.