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Finding the Fourth Proportional to 25.84, 35.75 and 25.13

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Solution

The fourth proportional to 25.84, 35.75 and 25.13 is: 34.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.84 : 35.75 = 25.13 : x
  2. Step 2: Convert to fraction form
    25.84/35.75 = 25.13/x
  3. Step 3: Cross multiply
    25.84x = 35.75 × 25.13
  4. Step 4: Simplify right side
    25.84x = 898.28
  5. Step 5: Solve for x
    x = 898.28/25.84
  6. Step 6: Final answer
    x = 34.77

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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.