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Finding the Fourth Proportional to 76.93, 105.47 and 75.57

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Solution

The fourth proportional to 76.93, 105.47 and 75.57 is: 103.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.93 : 105.47 = 75.57 : x
  2. Step 2: Convert to fraction form
    76.93/105.47 = 75.57/x
  3. Step 3: Cross multiply
    76.93x = 105.47 × 75.57
  4. Step 4: Simplify right side
    76.93x = 7,970.37
  5. Step 5: Solve for x
    x = 7,970.37/76.93
  6. Step 6: Final answer
    x = 103.61

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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.