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Finding the Fourth Proportional to 57.13, 85.54 and 47.03

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Solution

The fourth proportional to 57.13, 85.54 and 47.03 is: 70.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.13 : 85.54 = 47.03 : x
  2. Step 2: Convert to fraction form
    57.13/85.54 = 47.03/x
  3. Step 3: Cross multiply
    57.13x = 85.54 × 47.03
  4. Step 4: Simplify right side
    57.13x = 4,023.17
  5. Step 5: Solve for x
    x = 4,023.17/57.13
  6. Step 6: Final answer
    x = 70.42

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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.