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Finding the Fourth Proportional to 73.41, 109.61 and 66.57

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Solution

The fourth proportional to 73.41, 109.61 and 66.57 is: 99.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.41 : 109.61 = 66.57 : x
  2. Step 2: Convert to fraction form
    73.41/109.61 = 66.57/x
  3. Step 3: Cross multiply
    73.41x = 109.61 × 66.57
  4. Step 4: Simplify right side
    73.41x = 7,296.74
  5. Step 5: Solve for x
    x = 7,296.74/73.41
  6. Step 6: Final answer
    x = 99.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.