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Finding the Fourth Proportional to 43.40, 65.18 and 29.74

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Solution

The fourth proportional to 43.40, 65.18 and 29.74 is: 44.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.40 : 65.18 = 29.74 : x
  2. Step 2: Convert to fraction form
    43.40/65.18 = 29.74/x
  3. Step 3: Cross multiply
    43.40x = 65.18 × 29.74
  4. Step 4: Simplify right side
    43.40x = 1,938.13
  5. Step 5: Solve for x
    x = 1,938.13/43.40
  6. Step 6: Final answer
    x = 44.65

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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.