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Finding the Fourth Proportional to 96.93, 133.74 and 65.79

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Solution

The fourth proportional to 96.93, 133.74 and 65.79 is: 90.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.93 : 133.74 = 65.79 : x
  2. Step 2: Convert to fraction form
    96.93/133.74 = 65.79/x
  3. Step 3: Cross multiply
    96.93x = 133.74 × 65.79
  4. Step 4: Simplify right side
    96.93x = 8,798.75
  5. Step 5: Solve for x
    x = 8,798.75/96.93
  6. Step 6: Final answer
    x = 90.77

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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.