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Finding the Fourth Proportional to 120.40, 166.08 and 97.14

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Solution

The fourth proportional to 120.40, 166.08 and 97.14 is: 134.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.40 : 166.08 = 97.14 : x
  2. Step 2: Convert to fraction form
    120.40/166.08 = 97.14/x
  3. Step 3: Cross multiply
    120.40x = 166.08 × 97.14
  4. Step 4: Simplify right side
    120.40x = 16,133.01
  5. Step 5: Solve for x
    x = 16,133.01/120.40
  6. Step 6: Final answer
    x = 134.00

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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.