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Finding the Fourth Proportional to 25.93, 38.61 and 24.38

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Solution

The fourth proportional to 25.93, 38.61 and 24.38 is: 36.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.93 : 38.61 = 24.38 : x
  2. Step 2: Convert to fraction form
    25.93/38.61 = 24.38/x
  3. Step 3: Cross multiply
    25.93x = 38.61 × 24.38
  4. Step 4: Simplify right side
    25.93x = 941.18
  5. Step 5: Solve for x
    x = 941.18/25.93
  6. Step 6: Final answer
    x = 36.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.