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Finding the Fourth Proportional to 35.90, 53.81 and 24.49

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Solution

The fourth proportional to 35.90, 53.81 and 24.49 is: 36.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.90 : 53.81 = 24.49 : x
  2. Step 2: Convert to fraction form
    35.90/53.81 = 24.49/x
  3. Step 3: Cross multiply
    35.90x = 53.81 × 24.49
  4. Step 4: Simplify right side
    35.90x = 1,317.81
  5. Step 5: Solve for x
    x = 1,317.81/35.90
  6. Step 6: Final answer
    x = 36.71

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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.