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Finding the Fourth Proportional to 82.65, 123.99 and 48.34

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Solution

The fourth proportional to 82.65, 123.99 and 48.34 is: 72.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.65 : 123.99 = 48.34 : x
  2. Step 2: Convert to fraction form
    82.65/123.99 = 48.34/x
  3. Step 3: Cross multiply
    82.65x = 123.99 × 48.34
  4. Step 4: Simplify right side
    82.65x = 5,993.99
  5. Step 5: Solve for x
    x = 5,993.99/82.65
  6. Step 6: Final answer
    x = 72.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.