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Finding the Fourth Proportional to 117.54, 175.86 and 105.38

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Solution

The fourth proportional to 117.54, 175.86 and 105.38 is: 157.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.54 : 175.86 = 105.38 : x
  2. Step 2: Convert to fraction form
    117.54/175.86 = 105.38/x
  3. Step 3: Cross multiply
    117.54x = 175.86 × 105.38
  4. Step 4: Simplify right side
    117.54x = 18,532.13
  5. Step 5: Solve for x
    x = 18,532.13/117.54
  6. Step 6: Final answer
    x = 157.67

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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.