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Finding the Fourth Proportional to 43.59, 65.04 and 39.67

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Solution

The fourth proportional to 43.59, 65.04 and 39.67 is: 59.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.59 : 65.04 = 39.67 : x
  2. Step 2: Convert to fraction form
    43.59/65.04 = 39.67/x
  3. Step 3: Cross multiply
    43.59x = 65.04 × 39.67
  4. Step 4: Simplify right side
    43.59x = 2,580.14
  5. Step 5: Solve for x
    x = 2,580.14/43.59
  6. Step 6: Final answer
    x = 59.19

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.