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Finding the Fourth Proportional to 82.25, 123.35 and 24.45

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Solution

The fourth proportional to 82.25, 123.35 and 24.45 is: 36.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.25 : 123.35 = 24.45 : x
  2. Step 2: Convert to fraction form
    82.25/123.35 = 24.45/x
  3. Step 3: Cross multiply
    82.25x = 123.35 × 24.45
  4. Step 4: Simplify right side
    82.25x = 3,015.79
  5. Step 5: Solve for x
    x = 3,015.79/82.25
  6. Step 6: Final answer
    x = 36.67

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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.