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Finding the Fourth Proportional to 169.86, 254.54 and 97.58

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Solution

The fourth proportional to 169.86, 254.54 and 97.58 is: 146.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.86 : 254.54 = 97.58 : x
  2. Step 2: Convert to fraction form
    169.86/254.54 = 97.58/x
  3. Step 3: Cross multiply
    169.86x = 254.54 × 97.58
  4. Step 4: Simplify right side
    169.86x = 24,838.01
  5. Step 5: Solve for x
    x = 24,838.01/169.86
  6. Step 6: Final answer
    x = 146.23

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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.