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Finding the Fourth Proportional to 83.43, 124.74 and 56.30

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Solution

The fourth proportional to 83.43, 124.74 and 56.30 is: 84.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.43 : 124.74 = 56.30 : x
  2. Step 2: Convert to fraction form
    83.43/124.74 = 56.30/x
  3. Step 3: Cross multiply
    83.43x = 124.74 × 56.30
  4. Step 4: Simplify right side
    83.43x = 7,022.24
  5. Step 5: Solve for x
    x = 7,022.24/83.43
  6. Step 6: Final answer
    x = 84.17

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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.