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Finding the Fourth Proportional to 57.35, 85.53 and 51.89

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Solution

The fourth proportional to 57.35, 85.53 and 51.89 is: 77.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.35 : 85.53 = 51.89 : x
  2. Step 2: Convert to fraction form
    57.35/85.53 = 51.89/x
  3. Step 3: Cross multiply
    57.35x = 85.53 × 51.89
  4. Step 4: Simplify right side
    57.35x = 4,437.72
  5. Step 5: Solve for x
    x = 4,437.72/57.35
  6. Step 6: Final answer
    x = 77.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.