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Finding the Fourth Proportional to 173.60, 260.04 and 109.52

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Solution

The fourth proportional to 173.60, 260.04 and 109.52 is: 164.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.60 : 260.04 = 109.52 : x
  2. Step 2: Convert to fraction form
    173.60/260.04 = 109.52/x
  3. Step 3: Cross multiply
    173.60x = 260.04 × 109.52
  4. Step 4: Simplify right side
    173.60x = 28,479.58
  5. Step 5: Solve for x
    x = 28,479.58/173.60
  6. Step 6: Final answer
    x = 164.05

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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.