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Finding the Fourth Proportional to 57.04, 85.38 and 54.70

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Solution

The fourth proportional to 57.04, 85.38 and 54.70 is: 81.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.04 : 85.38 = 54.70 : x
  2. Step 2: Convert to fraction form
    57.04/85.38 = 54.70/x
  3. Step 3: Cross multiply
    57.04x = 85.38 × 54.70
  4. Step 4: Simplify right side
    57.04x = 4,670.29
  5. Step 5: Solve for x
    x = 4,670.29/57.04
  6. Step 6: Final answer
    x = 81.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.