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Finding the Fourth Proportional to 173.23, 260.03 and 70.58

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Solution

The fourth proportional to 173.23, 260.03 and 70.58 is: 105.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.23 : 260.03 = 70.58 : x
  2. Step 2: Convert to fraction form
    173.23/260.03 = 70.58/x
  3. Step 3: Cross multiply
    173.23x = 260.03 × 70.58
  4. Step 4: Simplify right side
    173.23x = 18,352.92
  5. Step 5: Solve for x
    x = 18,352.92/173.23
  6. Step 6: Final answer
    x = 105.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.