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Finding the Fourth Proportional to 43.37, 65.06 and 42.86

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Solution

The fourth proportional to 43.37, 65.06 and 42.86 is: 64.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.37 : 65.06 = 42.86 : x
  2. Step 2: Convert to fraction form
    43.37/65.06 = 42.86/x
  3. Step 3: Cross multiply
    43.37x = 65.06 × 42.86
  4. Step 4: Simplify right side
    43.37x = 2,787.93
  5. Step 5: Solve for x
    x = 2,787.93/43.37
  6. Step 6: Final answer
    x = 64.29

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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.