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Finding the Fourth Proportional to 56.74, 84.64 and 55.04

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Solution

The fourth proportional to 56.74, 84.64 and 55.04 is: 82.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.74 : 84.64 = 55.04 : x
  2. Step 2: Convert to fraction form
    56.74/84.64 = 55.04/x
  3. Step 3: Cross multiply
    56.74x = 84.64 × 55.04
  4. Step 4: Simplify right side
    56.74x = 4,658.02
  5. Step 5: Solve for x
    x = 4,658.02/56.74
  6. Step 6: Final answer
    x = 82.09

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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.