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Finding the Fourth Proportional to 5.75, 8.63 and 1.47

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Solution

The fourth proportional to 5.75, 8.63 and 1.47 is: 2.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.75 : 8.63 = 1.47 : x
  2. Step 2: Convert to fraction form
    5.75/8.63 = 1.47/x
  3. Step 3: Cross multiply
    5.75x = 8.63 × 1.47
  4. Step 4: Simplify right side
    5.75x = 12.71
  5. Step 5: Solve for x
    x = 12.71/5.75
  6. Step 6: Final answer
    x = 2.21

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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.