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Finding the Fourth Proportional to 49.12, 73.64 and 25.06

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Solution

The fourth proportional to 49.12, 73.64 and 25.06 is: 37.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.12 : 73.64 = 25.06 : x
  2. Step 2: Convert to fraction form
    49.12/73.64 = 25.06/x
  3. Step 3: Cross multiply
    49.12x = 73.64 × 25.06
  4. Step 4: Simplify right side
    49.12x = 1,845.42
  5. Step 5: Solve for x
    x = 1,845.42/49.12
  6. Step 6: Final answer
    x = 37.57

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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.