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Finding the Fourth Proportional to 5.65, 7.80 and 3.22

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Solution

The fourth proportional to 5.65, 7.80 and 3.22 is: 4.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.65 : 7.80 = 3.22 : x
  2. Step 2: Convert to fraction form
    5.65/7.80 = 3.22/x
  3. Step 3: Cross multiply
    5.65x = 7.80 × 3.22
  4. Step 4: Simplify right side
    5.65x = 25.12
  5. Step 5: Solve for x
    x = 25.12/5.65
  6. Step 6: Final answer
    x = 4.45

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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.