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Finding the Fourth Proportional to 76.51, 104.96 and 71.85

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Solution

The fourth proportional to 76.51, 104.96 and 71.85 is: 98.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.51 : 104.96 = 71.85 : x
  2. Step 2: Convert to fraction form
    76.51/104.96 = 71.85/x
  3. Step 3: Cross multiply
    76.51x = 104.96 × 71.85
  4. Step 4: Simplify right side
    76.51x = 7,541.38
  5. Step 5: Solve for x
    x = 7,541.38/76.51
  6. Step 6: Final answer
    x = 98.57

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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.