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Finding the Fourth Proportional to 82.45, 123.59 and 48.23

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Solution

The fourth proportional to 82.45, 123.59 and 48.23 is: 72.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.45 : 123.59 = 48.23 : x
  2. Step 2: Convert to fraction form
    82.45/123.59 = 48.23/x
  3. Step 3: Cross multiply
    82.45x = 123.59 × 48.23
  4. Step 4: Simplify right side
    82.45x = 5,960.71
  5. Step 5: Solve for x
    x = 5,960.71/82.45
  6. Step 6: Final answer
    x = 72.29

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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.