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Finding the Fourth Proportional to 4.05, 5.59 and 2.51

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Solution

The fourth proportional to 4.05, 5.59 and 2.51 is: 3.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.05 : 5.59 = 2.51 : x
  2. Step 2: Convert to fraction form
    4.05/5.59 = 2.51/x
  3. Step 3: Cross multiply
    4.05x = 5.59 × 2.51
  4. Step 4: Simplify right side
    4.05x = 14.03
  5. Step 5: Solve for x
    x = 14.03/4.05
  6. Step 6: Final answer
    x = 3.47

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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.