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Finding the Fourth Proportional to 35.97, 49.64 and 23.70

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Solution

The fourth proportional to 35.97, 49.64 and 23.70 is: 32.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.97 : 49.64 = 23.70 : x
  2. Step 2: Convert to fraction form
    35.97/49.64 = 23.70/x
  3. Step 3: Cross multiply
    35.97x = 49.64 × 23.70
  4. Step 4: Simplify right side
    35.97x = 1,176.47
  5. Step 5: Solve for x
    x = 1,176.47/35.97
  6. Step 6: Final answer
    x = 32.71

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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.