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Finding the Fourth Proportional to 4.05, 5.59 and 3.16

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Solution

The fourth proportional to 4.05, 5.59 and 3.16 is: 4.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.05 : 5.59 = 3.16 : x
  2. Step 2: Convert to fraction form
    4.05/5.59 = 3.16/x
  3. Step 3: Cross multiply
    4.05x = 5.59 × 3.16
  4. Step 4: Simplify right side
    4.05x = 17.66
  5. Step 5: Solve for x
    x = 17.66/4.05
  6. Step 6: Final answer
    x = 4.36

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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.