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Finding the Fourth Proportional to 71.82, 97.74 and 71.54

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Solution

The fourth proportional to 71.82, 97.74 and 71.54 is: 97.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.82 : 97.74 = 71.54 : x
  2. Step 2: Convert to fraction form
    71.82/97.74 = 71.54/x
  3. Step 3: Cross multiply
    71.82x = 97.74 × 71.54
  4. Step 4: Simplify right side
    71.82x = 6,992.32
  5. Step 5: Solve for x
    x = 6,992.32/71.82
  6. Step 6: Final answer
    x = 97.36

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.