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Finding the Fourth Proportional to 51.96, 77.55 and 51.42

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Solution

The fourth proportional to 51.96, 77.55 and 51.42 is: 76.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.96 : 77.55 = 51.42 : x
  2. Step 2: Convert to fraction form
    51.96/77.55 = 51.42/x
  3. Step 3: Cross multiply
    51.96x = 77.55 × 51.42
  4. Step 4: Simplify right side
    51.96x = 3,987.62
  5. Step 5: Solve for x
    x = 3,987.62/51.96
  6. Step 6: Final answer
    x = 76.74

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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.