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Finding the Fourth Proportional to 57.51, 86.16 and 56.09

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Solution

The fourth proportional to 57.51, 86.16 and 56.09 is: 84.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.51 : 86.16 = 56.09 : x
  2. Step 2: Convert to fraction form
    57.51/86.16 = 56.09/x
  3. Step 3: Cross multiply
    57.51x = 86.16 × 56.09
  4. Step 4: Simplify right side
    57.51x = 4,833.14
  5. Step 5: Solve for x
    x = 4,833.14/57.51
  6. Step 6: Final answer
    x = 84.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.