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Finding the Fourth Proportional to 49.10, 73.78 and 25.06

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Solution

The fourth proportional to 49.10, 73.78 and 25.06 is: 37.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.10 : 73.78 = 25.06 : x
  2. Step 2: Convert to fraction form
    49.10/73.78 = 25.06/x
  3. Step 3: Cross multiply
    49.10x = 73.78 × 25.06
  4. Step 4: Simplify right side
    49.10x = 1,848.93
  5. Step 5: Solve for x
    x = 1,848.93/49.10
  6. Step 6: Final answer
    x = 37.66

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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.