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Finding the Fourth Proportional to 57.56, 79.42 and 53.68

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Solution

The fourth proportional to 57.56, 79.42 and 53.68 is: 74.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.56 : 79.42 = 53.68 : x
  2. Step 2: Convert to fraction form
    57.56/79.42 = 53.68/x
  3. Step 3: Cross multiply
    57.56x = 79.42 × 53.68
  4. Step 4: Simplify right side
    57.56x = 4,263.27
  5. Step 5: Solve for x
    x = 4,263.27/57.56
  6. Step 6: Final answer
    x = 74.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.