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Finding the Fourth Proportional to 35.51, 49.00 and 20.95

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Solution

The fourth proportional to 35.51, 49.00 and 20.95 is: 28.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.51 : 49.00 = 20.95 : x
  2. Step 2: Convert to fraction form
    35.51/49.00 = 20.95/x
  3. Step 3: Cross multiply
    35.51x = 49.00 × 20.95
  4. Step 4: Simplify right side
    35.51x = 1,026.69
  5. Step 5: Solve for x
    x = 1,026.69/35.51
  6. Step 6: Final answer
    x = 28.91

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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.