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Finding the Fourth Proportional to 56.58, 85.39 and 54.67

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Solution

The fourth proportional to 56.58, 85.39 and 54.67 is: 82.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.58 : 85.39 = 54.67 : x
  2. Step 2: Convert to fraction form
    56.58/85.39 = 54.67/x
  3. Step 3: Cross multiply
    56.58x = 85.39 × 54.67
  4. Step 4: Simplify right side
    56.58x = 4,668.27
  5. Step 5: Solve for x
    x = 4,668.27/56.58
  6. Step 6: Final answer
    x = 82.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.