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Finding the Fourth Proportional to 4.65, 6.40 and 4.22

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Solution

The fourth proportional to 4.65, 6.40 and 4.22 is: 5.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.65 : 6.40 = 4.22 : x
  2. Step 2: Convert to fraction form
    4.65/6.40 = 4.22/x
  3. Step 3: Cross multiply
    4.65x = 6.40 × 4.22
  4. Step 4: Simplify right side
    4.65x = 27.01
  5. Step 5: Solve for x
    x = 27.01/4.65
  6. Step 6: Final answer
    x = 5.81

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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.