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Finding the Fourth Proportional to 94.60, 141.84 and 92.04

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Solution

The fourth proportional to 94.60, 141.84 and 92.04 is: 138.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.60 : 141.84 = 92.04 : x
  2. Step 2: Convert to fraction form
    94.60/141.84 = 92.04/x
  3. Step 3: Cross multiply
    94.60x = 141.84 × 92.04
  4. Step 4: Simplify right side
    94.60x = 13,054.95
  5. Step 5: Solve for x
    x = 13,054.95/94.60
  6. Step 6: Final answer
    x = 138.00

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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.