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Finding the Fourth Proportional to 35.82, 49.35 and 28.91

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Solution

The fourth proportional to 35.82, 49.35 and 28.91 is: 39.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.82 : 49.35 = 28.91 : x
  2. Step 2: Convert to fraction form
    35.82/49.35 = 28.91/x
  3. Step 3: Cross multiply
    35.82x = 49.35 × 28.91
  4. Step 4: Simplify right side
    35.82x = 1,426.71
  5. Step 5: Solve for x
    x = 1,426.71/35.82
  6. Step 6: Final answer
    x = 39.83

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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.