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Finding the Fourth Proportional to 94.88, 141.60 and 91.84

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Solution

The fourth proportional to 94.88, 141.60 and 91.84 is: 137.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.88 : 141.60 = 91.84 : x
  2. Step 2: Convert to fraction form
    94.88/141.60 = 91.84/x
  3. Step 3: Cross multiply
    94.88x = 141.60 × 91.84
  4. Step 4: Simplify right side
    94.88x = 13,004.54
  5. Step 5: Solve for x
    x = 13,004.54/94.88
  6. Step 6: Final answer
    x = 137.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.