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Finding the Fourth Proportional to 94.96, 141.65 and 85.84

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Solution

The fourth proportional to 94.96, 141.65 and 85.84 is: 128.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.96 : 141.65 = 85.84 : x
  2. Step 2: Convert to fraction form
    94.96/141.65 = 85.84/x
  3. Step 3: Cross multiply
    94.96x = 141.65 × 85.84
  4. Step 4: Simplify right side
    94.96x = 12,159.24
  5. Step 5: Solve for x
    x = 12,159.24/94.96
  6. Step 6: Final answer
    x = 128.05

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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.