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Finding the Fourth Proportional to 116.55, 175.62 and 105.75

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Solution

The fourth proportional to 116.55, 175.62 and 105.75 is: 159.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.55 : 175.62 = 105.75 : x
  2. Step 2: Convert to fraction form
    116.55/175.62 = 105.75/x
  3. Step 3: Cross multiply
    116.55x = 175.62 × 105.75
  4. Step 4: Simplify right side
    116.55x = 18,571.82
  5. Step 5: Solve for x
    x = 18,571.82/116.55
  6. Step 6: Final answer
    x = 159.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.