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Finding the Fourth Proportional to 56.96, 84.76 and 55

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Solution

The fourth proportional to 56.96, 84.76 and 55 is: 81.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.96 : 84.76 = 55 : x
  2. Step 2: Convert to fraction form
    56.96/84.76 = 55/x
  3. Step 3: Cross multiply
    56.96x = 84.76 × 55
  4. Step 4: Simplify right side
    56.96x = 4,661.80
  5. Step 5: Solve for x
    x = 4,661.80/56.96
  6. Step 6: Final answer
    x = 81.84

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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.