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Finding the Fourth Proportional to 43.42, 65.08 and 17.72

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Solution

The fourth proportional to 43.42, 65.08 and 17.72 is: 26.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.42 : 65.08 = 17.72 : x
  2. Step 2: Convert to fraction form
    43.42/65.08 = 17.72/x
  3. Step 3: Cross multiply
    43.42x = 65.08 × 17.72
  4. Step 4: Simplify right side
    43.42x = 1,153.34
  5. Step 5: Solve for x
    x = 1,153.34/43.42
  6. Step 6: Final answer
    x = 26.56

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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.