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Finding the Fourth Proportional to 35.13, 48.49 and 24.27

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Solution

The fourth proportional to 35.13, 48.49 and 24.27 is: 33.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.13 : 48.49 = 24.27 : x
  2. Step 2: Convert to fraction form
    35.13/48.49 = 24.27/x
  3. Step 3: Cross multiply
    35.13x = 48.49 × 24.27
  4. Step 4: Simplify right side
    35.13x = 1,176.85
  5. Step 5: Solve for x
    x = 1,176.85/35.13
  6. Step 6: Final answer
    x = 33.50

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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.