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Finding the Fourth Proportional to 70.62, 105.76 and 41.67

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Solution

The fourth proportional to 70.62, 105.76 and 41.67 is: 62.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.62 : 105.76 = 41.67 : x
  2. Step 2: Convert to fraction form
    70.62/105.76 = 41.67/x
  3. Step 3: Cross multiply
    70.62x = 105.76 × 41.67
  4. Step 4: Simplify right side
    70.62x = 4,407.02
  5. Step 5: Solve for x
    x = 4,407.02/70.62
  6. Step 6: Final answer
    x = 62.40

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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.