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Finding the Fourth Proportional to 57.53, 85.94 and 48.42

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Solution

The fourth proportional to 57.53, 85.94 and 48.42 is: 72.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.53 : 85.94 = 48.42 : x
  2. Step 2: Convert to fraction form
    57.53/85.94 = 48.42/x
  3. Step 3: Cross multiply
    57.53x = 85.94 × 48.42
  4. Step 4: Simplify right side
    57.53x = 4,161.21
  5. Step 5: Solve for x
    x = 4,161.21/57.53
  6. Step 6: Final answer
    x = 72.33

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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.