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Finding the Fourth Proportional to 74.53, 102.81 and 46.88

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Solution

The fourth proportional to 74.53, 102.81 and 46.88 is: 64.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.53 : 102.81 = 46.88 : x
  2. Step 2: Convert to fraction form
    74.53/102.81 = 46.88/x
  3. Step 3: Cross multiply
    74.53x = 102.81 × 46.88
  4. Step 4: Simplify right side
    74.53x = 4,819.73
  5. Step 5: Solve for x
    x = 4,819.73/74.53
  6. Step 6: Final answer
    x = 64.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.