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Finding the Fourth Proportional to 3.10, 4.65 and 2.25

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Solution

The fourth proportional to 3.10, 4.65 and 2.25 is: 3.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.10 : 4.65 = 2.25 : x
  2. Step 2: Convert to fraction form
    3.10/4.65 = 2.25/x
  3. Step 3: Cross multiply
    3.10x = 4.65 × 2.25
  4. Step 4: Simplify right side
    3.10x = 10.45
  5. Step 5: Solve for x
    x = 10.45/3.10
  6. Step 6: Final answer
    x = 3.38

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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.