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Finding the Fourth Proportional to 80.16, 110.60 and 55.58

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Solution

The fourth proportional to 80.16, 110.60 and 55.58 is: 76.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.16 : 110.60 = 55.58 : x
  2. Step 2: Convert to fraction form
    80.16/110.60 = 55.58/x
  3. Step 3: Cross multiply
    80.16x = 110.60 × 55.58
  4. Step 4: Simplify right side
    80.16x = 6,147.15
  5. Step 5: Solve for x
    x = 6,147.15/80.16
  6. Step 6: Final answer
    x = 76.69

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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.