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Finding the Fourth Proportional to 173.58, 260.74 and 105.13

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Solution

The fourth proportional to 173.58, 260.74 and 105.13 is: 157.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.58 : 260.74 = 105.13 : x
  2. Step 2: Convert to fraction form
    173.58/260.74 = 105.13/x
  3. Step 3: Cross multiply
    173.58x = 260.74 × 105.13
  4. Step 4: Simplify right side
    173.58x = 27,411.60
  5. Step 5: Solve for x
    x = 27,411.60/173.58
  6. Step 6: Final answer
    x = 157.92

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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.