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Finding the Fourth Proportional to 51.82, 71.12 and 51.55

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Solution

The fourth proportional to 51.82, 71.12 and 51.55 is: 70.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.82 : 71.12 = 51.55 : x
  2. Step 2: Convert to fraction form
    51.82/71.12 = 51.55/x
  3. Step 3: Cross multiply
    51.82x = 71.12 × 51.55
  4. Step 4: Simplify right side
    51.82x = 3,666.24
  5. Step 5: Solve for x
    x = 3,666.24/51.82
  6. Step 6: Final answer
    x = 70.75

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.