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Finding the Fourth Proportional to 96.42, 144.94 and 76.16

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Solution

The fourth proportional to 96.42, 144.94 and 76.16 is: 114.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.42 : 144.94 = 76.16 : x
  2. Step 2: Convert to fraction form
    96.42/144.94 = 76.16/x
  3. Step 3: Cross multiply
    96.42x = 144.94 × 76.16
  4. Step 4: Simplify right side
    96.42x = 11,038.63
  5. Step 5: Solve for x
    x = 11,038.63/96.42
  6. Step 6: Final answer
    x = 114.48

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Why These Related Problems?

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