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Finding the Fourth Proportional to 97.83, 135.04 and 66.68

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Solution

The fourth proportional to 97.83, 135.04 and 66.68 is: 92.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.83 : 135.04 = 66.68 : x
  2. Step 2: Convert to fraction form
    97.83/135.04 = 66.68/x
  3. Step 3: Cross multiply
    97.83x = 135.04 × 66.68
  4. Step 4: Simplify right side
    97.83x = 9,004.64
  5. Step 5: Solve for x
    x = 9,004.64/97.83
  6. Step 6: Final answer
    x = 92.04

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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.