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Finding the Fourth Proportional to 98.85, 148.04 and 82.58

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Solution

The fourth proportional to 98.85, 148.04 and 82.58 is: 123.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.85 : 148.04 = 82.58 : x
  2. Step 2: Convert to fraction form
    98.85/148.04 = 82.58/x
  3. Step 3: Cross multiply
    98.85x = 148.04 × 82.58
  4. Step 4: Simplify right side
    98.85x = 12,224.73
  5. Step 5: Solve for x
    x = 12,224.73/98.85
  6. Step 6: Final answer
    x = 123.67

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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.