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Finding the Fourth Proportional to 46.63, 70.07 and 43.72

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Solution

The fourth proportional to 46.63, 70.07 and 43.72 is: 65.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.63 : 70.07 = 43.72 : x
  2. Step 2: Convert to fraction form
    46.63/70.07 = 43.72/x
  3. Step 3: Cross multiply
    46.63x = 70.07 × 43.72
  4. Step 4: Simplify right side
    46.63x = 3,063.59
  5. Step 5: Solve for x
    x = 3,063.59/46.63
  6. Step 6: Final answer
    x = 65.71

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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.