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Finding the Fourth Proportional to 5.43, 8.15 and 1.43

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Solution

The fourth proportional to 5.43, 8.15 and 1.43 is: 2.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.43 : 8.15 = 1.43 : x
  2. Step 2: Convert to fraction form
    5.43/8.15 = 1.43/x
  3. Step 3: Cross multiply
    5.43x = 8.15 × 1.43
  4. Step 4: Simplify right side
    5.43x = 11.63
  5. Step 5: Solve for x
    x = 11.63/5.43
  6. Step 6: Final answer
    x = 2.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.