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Finding the Fourth Proportional to 94.66, 141.72 and 80.16

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Solution

The fourth proportional to 94.66, 141.72 and 80.16 is: 120.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.66 : 141.72 = 80.16 : x
  2. Step 2: Convert to fraction form
    94.66/141.72 = 80.16/x
  3. Step 3: Cross multiply
    94.66x = 141.72 × 80.16
  4. Step 4: Simplify right side
    94.66x = 11,360.28
  5. Step 5: Solve for x
    x = 11,360.28/94.66
  6. Step 6: Final answer
    x = 120.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.