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Finding the Fourth Proportional to 36.61, 50.53 and 30.46

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Solution

The fourth proportional to 36.61, 50.53 and 30.46 is: 42.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.61 : 50.53 = 30.46 : x
  2. Step 2: Convert to fraction form
    36.61/50.53 = 30.46/x
  3. Step 3: Cross multiply
    36.61x = 50.53 × 30.46
  4. Step 4: Simplify right side
    36.61x = 1,539.14
  5. Step 5: Solve for x
    x = 1,539.14/36.61
  6. Step 6: Final answer
    x = 42.04

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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.