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Finding the Fourth Proportional to 82.99, 123.80 and 70.21

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Solution

The fourth proportional to 82.99, 123.80 and 70.21 is: 104.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.99 : 123.80 = 70.21 : x
  2. Step 2: Convert to fraction form
    82.99/123.80 = 70.21/x
  3. Step 3: Cross multiply
    82.99x = 123.80 × 70.21
  4. Step 4: Simplify right side
    82.99x = 8,692.00
  5. Step 5: Solve for x
    x = 8,692.00/82.99
  6. Step 6: Final answer
    x = 104.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.