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Finding the Fourth Proportional to 57.42, 85.52 and 53.46

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Solution

The fourth proportional to 57.42, 85.52 and 53.46 is: 79.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.42 : 85.52 = 53.46 : x
  2. Step 2: Convert to fraction form
    57.42/85.52 = 53.46/x
  3. Step 3: Cross multiply
    57.42x = 85.52 × 53.46
  4. Step 4: Simplify right side
    57.42x = 4,571.63
  5. Step 5: Solve for x
    x = 4,571.63/57.42
  6. Step 6: Final answer
    x = 79.62

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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.