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Finding the Fourth Proportional to 3.64, 5.46 and 1.64

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Solution

The fourth proportional to 3.64, 5.46 and 1.64 is: 2.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.64 : 5.46 = 1.64 : x
  2. Step 2: Convert to fraction form
    3.64/5.46 = 1.64/x
  3. Step 3: Cross multiply
    3.64x = 5.46 × 1.64
  4. Step 4: Simplify right side
    3.64x = 8.92
  5. Step 5: Solve for x
    x = 8.92/3.64
  6. Step 6: Final answer
    x = 2.45

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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.