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Finding the Fourth Proportional to 43.16, 64.67 and 38.89

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Solution

The fourth proportional to 43.16, 64.67 and 38.89 is: 58.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.16 : 64.67 = 38.89 : x
  2. Step 2: Convert to fraction form
    43.16/64.67 = 38.89/x
  3. Step 3: Cross multiply
    43.16x = 64.67 × 38.89
  4. Step 4: Simplify right side
    43.16x = 2,515.02
  5. Step 5: Solve for x
    x = 2,515.02/43.16
  6. Step 6: Final answer
    x = 58.27

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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.