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Finding the Fourth Proportional to 169.34, 254.10 and 78.02

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Solution

The fourth proportional to 169.34, 254.10 and 78.02 is: 117.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.34 : 254.10 = 78.02 : x
  2. Step 2: Convert to fraction form
    169.34/254.10 = 78.02/x
  3. Step 3: Cross multiply
    169.34x = 254.10 × 78.02
  4. Step 4: Simplify right side
    169.34x = 19,824.88
  5. Step 5: Solve for x
    x = 19,824.88/169.34
  6. Step 6: Final answer
    x = 117.07

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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.