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Finding the Fourth Proportional to 96.93, 145.26 and 76.55

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Solution

The fourth proportional to 96.93, 145.26 and 76.55 is: 114.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.93 : 145.26 = 76.55 : x
  2. Step 2: Convert to fraction form
    96.93/145.26 = 76.55/x
  3. Step 3: Cross multiply
    96.93x = 145.26 × 76.55
  4. Step 4: Simplify right side
    96.93x = 11,118.93
  5. Step 5: Solve for x
    x = 11,118.93/96.93
  6. Step 6: Final answer
    x = 114.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.