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Finding the Fourth Proportional to 35.50, 49.22 and 35.35

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Solution

The fourth proportional to 35.50, 49.22 and 35.35 is: 49.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.50 : 49.22 = 35.35 : x
  2. Step 2: Convert to fraction form
    35.50/49.22 = 35.35/x
  3. Step 3: Cross multiply
    35.50x = 49.22 × 35.35
  4. Step 4: Simplify right side
    35.50x = 1,739.93
  5. Step 5: Solve for x
    x = 1,739.93/35.50
  6. Step 6: Final answer
    x = 49.01

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.