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Finding the Fourth Proportional to 66.63, 99.66 and 47.25

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Solution

The fourth proportional to 66.63, 99.66 and 47.25 is: 70.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.63 : 99.66 = 47.25 : x
  2. Step 2: Convert to fraction form
    66.63/99.66 = 47.25/x
  3. Step 3: Cross multiply
    66.63x = 99.66 × 47.25
  4. Step 4: Simplify right side
    66.63x = 4,708.94
  5. Step 5: Solve for x
    x = 4,708.94/66.63
  6. Step 6: Final answer
    x = 70.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.