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Finding the Fourth Proportional to 94.60, 141.28 and 75.36

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Solution

The fourth proportional to 94.60, 141.28 and 75.36 is: 112.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.60 : 141.28 = 75.36 : x
  2. Step 2: Convert to fraction form
    94.60/141.28 = 75.36/x
  3. Step 3: Cross multiply
    94.60x = 141.28 × 75.36
  4. Step 4: Simplify right side
    94.60x = 10,646.86
  5. Step 5: Solve for x
    x = 10,646.86/94.60
  6. Step 6: Final answer
    x = 112.55

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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.