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Finding the Fourth Proportional to 4.63, 6.93 and 3.61

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Solution

The fourth proportional to 4.63, 6.93 and 3.61 is: 5.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.63 : 6.93 = 3.61 : x
  2. Step 2: Convert to fraction form
    4.63/6.93 = 3.61/x
  3. Step 3: Cross multiply
    4.63x = 6.93 × 3.61
  4. Step 4: Simplify right side
    4.63x = 25.02
  5. Step 5: Solve for x
    x = 25.02/4.63
  6. Step 6: Final answer
    x = 5.40

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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.