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Finding the Fourth Proportional to 119.34, 164.70 and 77.88

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Solution

The fourth proportional to 119.34, 164.70 and 77.88 is: 107.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.34 : 164.70 = 77.88 : x
  2. Step 2: Convert to fraction form
    119.34/164.70 = 77.88/x
  3. Step 3: Cross multiply
    119.34x = 164.70 × 77.88
  4. Step 4: Simplify right side
    119.34x = 12,826.84
  5. Step 5: Solve for x
    x = 12,826.84/119.34
  6. Step 6: Final answer
    x = 107.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.