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Finding the Fourth Proportional to 49.51, 74.12 and 27.74

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Solution

The fourth proportional to 49.51, 74.12 and 27.74 is: 41.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.51 : 74.12 = 27.74 : x
  2. Step 2: Convert to fraction form
    49.51/74.12 = 27.74/x
  3. Step 3: Cross multiply
    49.51x = 74.12 × 27.74
  4. Step 4: Simplify right side
    49.51x = 2,056.14
  5. Step 5: Solve for x
    x = 2,056.14/49.51
  6. Step 6: Final answer
    x = 41.53

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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.