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Finding the Fourth Proportional to 82.00, 123.14 and 70.75

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Solution

The fourth proportional to 82.00, 123.14 and 70.75 is: 106.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.00 : 123.14 = 70.75 : x
  2. Step 2: Convert to fraction form
    82.00/123.14 = 70.75/x
  3. Step 3: Cross multiply
    82.00x = 123.14 × 70.75
  4. Step 4: Simplify right side
    82.00x = 8,711.19
  5. Step 5: Solve for x
    x = 8,711.19/82.00
  6. Step 6: Final answer
    x = 106.24

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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.