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Finding the Fourth Proportional to 66.95, 100.43 and 34.45

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Solution

The fourth proportional to 66.95, 100.43 and 34.45 is: 51.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.95 : 100.43 = 34.45 : x
  2. Step 2: Convert to fraction form
    66.95/100.43 = 34.45/x
  3. Step 3: Cross multiply
    66.95x = 100.43 × 34.45
  4. Step 4: Simplify right side
    66.95x = 3,459.31
  5. Step 5: Solve for x
    x = 3,459.31/66.95
  6. Step 6: Final answer
    x = 51.67

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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.