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Finding the Fourth Proportional to 52.89, 73.41 and 52.89

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Solution

The fourth proportional to 52.89, 73.41 and 52.89 is: 73.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.89 : 73.41 = 52.89 : x
  2. Step 2: Convert to fraction form
    52.89/73.41 = 52.89/x
  3. Step 3: Cross multiply
    52.89x = 73.41 × 52.89
  4. Step 4: Simplify right side
    52.89x = 3,882.65
  5. Step 5: Solve for x
    x = 3,882.65/52.89
  6. Step 6: Final answer
    x = 73.41

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.