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Finding the Fourth Proportional to 82.04, 123.07 and 36.40

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Solution

The fourth proportional to 82.04, 123.07 and 36.40 is: 54.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.04 : 123.07 = 36.40 : x
  2. Step 2: Convert to fraction form
    82.04/123.07 = 36.40/x
  3. Step 3: Cross multiply
    82.04x = 123.07 × 36.40
  4. Step 4: Simplify right side
    82.04x = 4,479.65
  5. Step 5: Solve for x
    x = 4,479.65/82.04
  6. Step 6: Final answer
    x = 54.60

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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.