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Finding the Fourth Proportional to 83.00, 124.54 and 48.78

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Solution

The fourth proportional to 83.00, 124.54 and 48.78 is: 73.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.00 : 124.54 = 48.78 : x
  2. Step 2: Convert to fraction form
    83.00/124.54 = 48.78/x
  3. Step 3: Cross multiply
    83.00x = 124.54 × 48.78
  4. Step 4: Simplify right side
    83.00x = 6,074.94
  5. Step 5: Solve for x
    x = 6,074.94/83.00
  6. Step 6: Final answer
    x = 73.19

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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.