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Finding the Fourth Proportional to 57.12, 85.28 and 56.16

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Solution

The fourth proportional to 57.12, 85.28 and 56.16 is: 83.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.12 : 85.28 = 56.16 : x
  2. Step 2: Convert to fraction form
    57.12/85.28 = 56.16/x
  3. Step 3: Cross multiply
    57.12x = 85.28 × 56.16
  4. Step 4: Simplify right side
    57.12x = 4,789.32
  5. Step 5: Solve for x
    x = 4,789.32/57.12
  6. Step 6: Final answer
    x = 83.85

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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.