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Finding the Fourth Proportional to 52.82, 72.98 and 50.00

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Solution

The fourth proportional to 52.82, 72.98 and 50.00 is: 69.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.82 : 72.98 = 50.00 : x
  2. Step 2: Convert to fraction form
    52.82/72.98 = 50.00/x
  3. Step 3: Cross multiply
    52.82x = 72.98 × 50.00
  4. Step 4: Simplify right side
    52.82x = 3,648.39
  5. Step 5: Solve for x
    x = 3,648.39/52.82
  6. Step 6: Final answer
    x = 69.08

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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.