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Finding the Fourth Proportional to 82.45, 123.66 and 31.05

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Solution

The fourth proportional to 82.45, 123.66 and 31.05 is: 46.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.45 : 123.66 = 31.05 : x
  2. Step 2: Convert to fraction form
    82.45/123.66 = 31.05/x
  3. Step 3: Cross multiply
    82.45x = 123.66 × 31.05
  4. Step 4: Simplify right side
    82.45x = 3,839.64
  5. Step 5: Solve for x
    x = 3,839.64/82.45
  6. Step 6: Final answer
    x = 46.57

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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.