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Finding the Fourth Proportional to 121.40, 182.04 and 78.56

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Solution

The fourth proportional to 121.40, 182.04 and 78.56 is: 117.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.40 : 182.04 = 78.56 : x
  2. Step 2: Convert to fraction form
    121.40/182.04 = 78.56/x
  3. Step 3: Cross multiply
    121.40x = 182.04 × 78.56
  4. Step 4: Simplify right side
    121.40x = 14,301.06
  5. Step 5: Solve for x
    x = 14,301.06/121.40
  6. Step 6: Final answer
    x = 117.80

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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.