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Finding the Fourth Proportional to 25.61, 38.42 and 7.58

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Solution

The fourth proportional to 25.61, 38.42 and 7.58 is: 11.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.61 : 38.42 = 7.58 : x
  2. Step 2: Convert to fraction form
    25.61/38.42 = 7.58/x
  3. Step 3: Cross multiply
    25.61x = 38.42 × 7.58
  4. Step 4: Simplify right side
    25.61x = 290.99
  5. Step 5: Solve for x
    x = 290.99/25.61
  6. Step 6: Final answer
    x = 11.36

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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.