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Finding the Fourth Proportional to 56.74, 84.67 and 55.30

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Solution

The fourth proportional to 56.74, 84.67 and 55.30 is: 82.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.74 : 84.67 = 55.30 : x
  2. Step 2: Convert to fraction form
    56.74/84.67 = 55.30/x
  3. Step 3: Cross multiply
    56.74x = 84.67 × 55.30
  4. Step 4: Simplify right side
    56.74x = 4,682.25
  5. Step 5: Solve for x
    x = 4,682.25/56.74
  6. Step 6: Final answer
    x = 82.52

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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.