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Finding the Fourth Proportional to 56.21, 84.49 and 55.02

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Solution

The fourth proportional to 56.21, 84.49 and 55.02 is: 82.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.21 : 84.49 = 55.02 : x
  2. Step 2: Convert to fraction form
    56.21/84.49 = 55.02/x
  3. Step 3: Cross multiply
    56.21x = 84.49 × 55.02
  4. Step 4: Simplify right side
    56.21x = 4,648.50
  5. Step 5: Solve for x
    x = 4,648.50/56.21
  6. Step 6: Final answer
    x = 82.69

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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.