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Finding the Fourth Proportional to 98.42, 134.93 and 96.59

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Solution

The fourth proportional to 98.42, 134.93 and 96.59 is: 132.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.42 : 134.93 = 96.59 : x
  2. Step 2: Convert to fraction form
    98.42/134.93 = 96.59/x
  3. Step 3: Cross multiply
    98.42x = 134.93 × 96.59
  4. Step 4: Simplify right side
    98.42x = 13,031.73
  5. Step 5: Solve for x
    x = 13,031.73/98.42
  6. Step 6: Final answer
    x = 132.42

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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.