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Finding the Fourth Proportional to 99.98, 149.84 and 45.82

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Solution

The fourth proportional to 99.98, 149.84 and 45.82 is: 68.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.98 : 149.84 = 45.82 : x
  2. Step 2: Convert to fraction form
    99.98/149.84 = 45.82/x
  3. Step 3: Cross multiply
    99.98x = 149.84 × 45.82
  4. Step 4: Simplify right side
    99.98x = 6,865.67
  5. Step 5: Solve for x
    x = 6,865.67/99.98
  6. Step 6: Final answer
    x = 68.67

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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.