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Finding the Fourth Proportional to 58.25, 80.35 and 36.13

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Solution

The fourth proportional to 58.25, 80.35 and 36.13 is: 49.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.25 : 80.35 = 36.13 : x
  2. Step 2: Convert to fraction form
    58.25/80.35 = 36.13/x
  3. Step 3: Cross multiply
    58.25x = 80.35 × 36.13
  4. Step 4: Simplify right side
    58.25x = 2,902.46
  5. Step 5: Solve for x
    x = 2,902.46/58.25
  6. Step 6: Final answer
    x = 49.83

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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.