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Finding the Fourth Proportional to 25.53, 38.05 and 24.25

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Solution

The fourth proportional to 25.53, 38.05 and 24.25 is: 36.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.53 : 38.05 = 24.25 : x
  2. Step 2: Convert to fraction form
    25.53/38.05 = 24.25/x
  3. Step 3: Cross multiply
    25.53x = 38.05 × 24.25
  4. Step 4: Simplify right side
    25.53x = 922.71
  5. Step 5: Solve for x
    x = 922.71/25.53
  6. Step 6: Final answer
    x = 36.14

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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.