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Finding the Fourth Proportional to 120.66, 166.51 and 65.40

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Solution

The fourth proportional to 120.66, 166.51 and 65.40 is: 90.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.66 : 166.51 = 65.40 : x
  2. Step 2: Convert to fraction form
    120.66/166.51 = 65.40/x
  3. Step 3: Cross multiply
    120.66x = 166.51 × 65.40
  4. Step 4: Simplify right side
    120.66x = 10,889.41
  5. Step 5: Solve for x
    x = 10,889.41/120.66
  6. Step 6: Final answer
    x = 90.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.