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Finding the Fourth Proportional to 35.96, 53.87 and 30.49

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Solution

The fourth proportional to 35.96, 53.87 and 30.49 is: 45.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.96 : 53.87 = 30.49 : x
  2. Step 2: Convert to fraction form
    35.96/53.87 = 30.49/x
  3. Step 3: Cross multiply
    35.96x = 53.87 × 30.49
  4. Step 4: Simplify right side
    35.96x = 1,642.44
  5. Step 5: Solve for x
    x = 1,642.44/35.96
  6. Step 6: Final answer
    x = 45.68

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Why These Related Problems?

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