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Finding the Fourth Proportional to 25.07, 37.57 and 9.83

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Solution

The fourth proportional to 25.07, 37.57 and 9.83 is: 14.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.07 : 37.57 = 9.83 : x
  2. Step 2: Convert to fraction form
    25.07/37.57 = 9.83/x
  3. Step 3: Cross multiply
    25.07x = 37.57 × 9.83
  4. Step 4: Simplify right side
    25.07x = 369.31
  5. Step 5: Solve for x
    x = 369.31/25.07
  6. Step 6: Final answer
    x = 14.73

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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.