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Finding the Fourth Proportional to 82.12, 123.23 and 62.99

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Solution

The fourth proportional to 82.12, 123.23 and 62.99 is: 94.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.12 : 123.23 = 62.99 : x
  2. Step 2: Convert to fraction form
    82.12/123.23 = 62.99/x
  3. Step 3: Cross multiply
    82.12x = 123.23 × 62.99
  4. Step 4: Simplify right side
    82.12x = 7,762.26
  5. Step 5: Solve for x
    x = 7,762.26/82.12
  6. Step 6: Final answer
    x = 94.52

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Why These Related Problems?

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