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Finding the Fourth Proportional to 44.09, 65.82 and 36.50

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Solution

The fourth proportional to 44.09, 65.82 and 36.50 is: 54.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.09 : 65.82 = 36.50 : x
  2. Step 2: Convert to fraction form
    44.09/65.82 = 36.50/x
  3. Step 3: Cross multiply
    44.09x = 65.82 × 36.50
  4. Step 4: Simplify right side
    44.09x = 2,402.10
  5. Step 5: Solve for x
    x = 2,402.10/44.09
  6. Step 6: Final answer
    x = 54.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.