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Finding the Fourth Proportional to 117.37, 175.18 and 103.85

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Solution

The fourth proportional to 117.37, 175.18 and 103.85 is: 155.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.37 : 175.18 = 103.85 : x
  2. Step 2: Convert to fraction form
    117.37/175.18 = 103.85/x
  3. Step 3: Cross multiply
    117.37x = 175.18 × 103.85
  4. Step 4: Simplify right side
    117.37x = 18,192.44
  5. Step 5: Solve for x
    x = 18,192.44/117.37
  6. Step 6: Final answer
    x = 155.01

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.