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Finding the Fourth Proportional to 109.80, 165.46 and 90.97

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Solution

The fourth proportional to 109.80, 165.46 and 90.97 is: 137.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.80 : 165.46 = 90.97 : x
  2. Step 2: Convert to fraction form
    109.80/165.46 = 90.97/x
  3. Step 3: Cross multiply
    109.80x = 165.46 × 90.97
  4. Step 4: Simplify right side
    109.80x = 15,051.26
  5. Step 5: Solve for x
    x = 15,051.26/109.80
  6. Step 6: Final answer
    x = 137.08

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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.