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Finding the Fourth Proportional to 96.93, 133.74 and 61.94

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Solution

The fourth proportional to 96.93, 133.74 and 61.94 is: 85.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.93 : 133.74 = 61.94 : x
  2. Step 2: Convert to fraction form
    96.93/133.74 = 61.94/x
  3. Step 3: Cross multiply
    96.93x = 133.74 × 61.94
  4. Step 4: Simplify right side
    96.93x = 8,283.19
  5. Step 5: Solve for x
    x = 8,283.19/96.93
  6. Step 6: Final answer
    x = 85.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.