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Finding the Fourth Proportional to 52.83, 72.78 and 49.98

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Solution

The fourth proportional to 52.83, 72.78 and 49.98 is: 68.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.83 : 72.78 = 49.98 : x
  2. Step 2: Convert to fraction form
    52.83/72.78 = 49.98/x
  3. Step 3: Cross multiply
    52.83x = 72.78 × 49.98
  4. Step 4: Simplify right side
    52.83x = 3,637.54
  5. Step 5: Solve for x
    x = 3,637.54/52.83
  6. Step 6: Final answer
    x = 68.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.