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Finding the Fourth Proportional to 4.65, 6.97 and 1.64

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Solution

The fourth proportional to 4.65, 6.97 and 1.64 is: 2.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.65 : 6.97 = 1.64 : x
  2. Step 2: Convert to fraction form
    4.65/6.97 = 1.64/x
  3. Step 3: Cross multiply
    4.65x = 6.97 × 1.64
  4. Step 4: Simplify right side
    4.65x = 11.43
  5. Step 5: Solve for x
    x = 11.43/4.65
  6. Step 6: Final answer
    x = 2.46

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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.