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Finding the Fourth Proportional to 120.12, 165.78 and 71.00

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Solution

The fourth proportional to 120.12, 165.78 and 71.00 is: 97.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.12 : 165.78 = 71.00 : x
  2. Step 2: Convert to fraction form
    120.12/165.78 = 71.00/x
  3. Step 3: Cross multiply
    120.12x = 165.78 × 71.00
  4. Step 4: Simplify right side
    120.12x = 11,769.71
  5. Step 5: Solve for x
    x = 11,769.71/120.12
  6. Step 6: Final answer
    x = 97.98

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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.