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Finding the Fourth Proportional to 119.76, 178.80 and 96.56

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Solution

The fourth proportional to 119.76, 178.80 and 96.56 is: 144.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.76 : 178.80 = 96.56 : x
  2. Step 2: Convert to fraction form
    119.76/178.80 = 96.56/x
  3. Step 3: Cross multiply
    119.76x = 178.80 × 96.56
  4. Step 4: Simplify right side
    119.76x = 17,264.93
  5. Step 5: Solve for x
    x = 17,264.93/119.76
  6. Step 6: Final answer
    x = 144.16

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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.