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Finding the Fourth Proportional to 35.85, 49.50 and 22.07

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Solution

The fourth proportional to 35.85, 49.50 and 22.07 is: 30.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.85 : 49.50 = 22.07 : x
  2. Step 2: Convert to fraction form
    35.85/49.50 = 22.07/x
  3. Step 3: Cross multiply
    35.85x = 49.50 × 22.07
  4. Step 4: Simplify right side
    35.85x = 1,092.22
  5. Step 5: Solve for x
    x = 1,092.22/35.85
  6. Step 6: Final answer
    x = 30.47

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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.