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Finding the Fourth Proportional to 108.70, 164.90 and 108.70

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Solution

The fourth proportional to 108.70, 164.90 and 108.70 is: 164.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.70 : 164.90 = 108.70 : x
  2. Step 2: Convert to fraction form
    108.70/164.90 = 108.70/x
  3. Step 3: Cross multiply
    108.70x = 164.90 × 108.70
  4. Step 4: Simplify right side
    108.70x = 17,924.63
  5. Step 5: Solve for x
    x = 17,924.63/108.70
  6. Step 6: Final answer
    x = 164.90

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.