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Finding the Fourth Proportional to 56.84, 84.82 and 50.70

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Solution

The fourth proportional to 56.84, 84.82 and 50.70 is: 75.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.84 : 84.82 = 50.70 : x
  2. Step 2: Convert to fraction form
    56.84/84.82 = 50.70/x
  3. Step 3: Cross multiply
    56.84x = 84.82 × 50.70
  4. Step 4: Simplify right side
    56.84x = 4,300.44
  5. Step 5: Solve for x
    x = 4,300.44/56.84
  6. Step 6: Final answer
    x = 75.66

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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.