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Finding the Fourth Proportional to 108.95, 164.06 and 90.83

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Solution

The fourth proportional to 108.95, 164.06 and 90.83 is: 136.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.95 : 164.06 = 90.83 : x
  2. Step 2: Convert to fraction form
    108.95/164.06 = 90.83/x
  3. Step 3: Cross multiply
    108.95x = 164.06 × 90.83
  4. Step 4: Simplify right side
    108.95x = 14,901.57
  5. Step 5: Solve for x
    x = 14,901.57/108.95
  6. Step 6: Final answer
    x = 136.77

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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.