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Finding the Fourth Proportional to 83.59, 125.33 and 56.52

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Solution

The fourth proportional to 83.59, 125.33 and 56.52 is: 84.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.59 : 125.33 = 56.52 : x
  2. Step 2: Convert to fraction form
    83.59/125.33 = 56.52/x
  3. Step 3: Cross multiply
    83.59x = 125.33 × 56.52
  4. Step 4: Simplify right side
    83.59x = 7,083.37
  5. Step 5: Solve for x
    x = 7,083.37/83.59
  6. Step 6: Final answer
    x = 84.74

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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.