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Finding the Fourth Proportional to 25.53, 35.13 and 25.05

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Solution

The fourth proportional to 25.53, 35.13 and 25.05 is: 34.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.53 : 35.13 = 25.05 : x
  2. Step 2: Convert to fraction form
    25.53/35.13 = 25.05/x
  3. Step 3: Cross multiply
    25.53x = 35.13 × 25.05
  4. Step 4: Simplify right side
    25.53x = 880.01
  5. Step 5: Solve for x
    x = 880.01/25.53
  6. Step 6: Final answer
    x = 34.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.