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Finding the Fourth Proportional to 119.28, 178.91 and 78.57

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Solution

The fourth proportional to 119.28, 178.91 and 78.57 is: 117.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.28 : 178.91 = 78.57 : x
  2. Step 2: Convert to fraction form
    119.28/178.91 = 78.57/x
  3. Step 3: Cross multiply
    119.28x = 178.91 × 78.57
  4. Step 4: Simplify right side
    119.28x = 14,056.57
  5. Step 5: Solve for x
    x = 14,056.57/119.28
  6. Step 6: Final answer
    x = 117.85

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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.