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Finding the Fourth Proportional to 104.57, 156.72 and 56.42

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Solution

The fourth proportional to 104.57, 156.72 and 56.42 is: 84.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.57 : 156.72 = 56.42 : x
  2. Step 2: Convert to fraction form
    104.57/156.72 = 56.42/x
  3. Step 3: Cross multiply
    104.57x = 156.72 × 56.42
  4. Step 4: Simplify right side
    104.57x = 8,842.14
  5. Step 5: Solve for x
    x = 8,842.14/104.57
  6. Step 6: Final answer
    x = 84.56

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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.