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Finding the Fourth Proportional to 119.78, 179.64 and 55.64

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Solution

The fourth proportional to 119.78, 179.64 and 55.64 is: 83.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.78 : 179.64 = 55.64 : x
  2. Step 2: Convert to fraction form
    119.78/179.64 = 55.64/x
  3. Step 3: Cross multiply
    119.78x = 179.64 × 55.64
  4. Step 4: Simplify right side
    119.78x = 9,995.17
  5. Step 5: Solve for x
    x = 9,995.17/119.78
  6. Step 6: Final answer
    x = 83.45

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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.