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Finding the Fourth Proportional to 56.03, 83.57 and 52.83

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Solution

The fourth proportional to 56.03, 83.57 and 52.83 is: 78.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.03 : 83.57 = 52.83 : x
  2. Step 2: Convert to fraction form
    56.03/83.57 = 52.83/x
  3. Step 3: Cross multiply
    56.03x = 83.57 × 52.83
  4. Step 4: Simplify right side
    56.03x = 4,414.74
  5. Step 5: Solve for x
    x = 4,414.74/56.03
  6. Step 6: Final answer
    x = 78.80

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.