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Finding the Fourth Proportional to 116.60, 165.41 and 116.60

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Solution

The fourth proportional to 116.60, 165.41 and 116.60 is: 165.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.60 : 165.41 = 116.60 : x
  2. Step 2: Convert to fraction form
    116.60/165.41 = 116.60/x
  3. Step 3: Cross multiply
    116.60x = 165.41 × 116.60
  4. Step 4: Simplify right side
    116.60x = 19,286.81
  5. Step 5: Solve for x
    x = 19,286.81/116.60
  6. Step 6: Final answer
    x = 165.41

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.