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Finding the Fourth Proportional to 49.36, 74.00 and 23.66

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Solution

The fourth proportional to 49.36, 74.00 and 23.66 is: 35.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.36 : 74.00 = 23.66 : x
  2. Step 2: Convert to fraction form
    49.36/74.00 = 23.66/x
  3. Step 3: Cross multiply
    49.36x = 74.00 × 23.66
  4. Step 4: Simplify right side
    49.36x = 1,750.53
  5. Step 5: Solve for x
    x = 1,750.53/49.36
  6. Step 6: Final answer
    x = 35.47

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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.