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Finding the Fourth Proportional to 117.80, 176.60 and 105.74

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Solution

The fourth proportional to 117.80, 176.60 and 105.74 is: 158.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.80 : 176.60 = 105.74 : x
  2. Step 2: Convert to fraction form
    117.80/176.60 = 105.74/x
  3. Step 3: Cross multiply
    117.80x = 176.60 × 105.74
  4. Step 4: Simplify right side
    117.80x = 18,673.68
  5. Step 5: Solve for x
    x = 18,673.68/117.80
  6. Step 6: Final answer
    x = 158.52

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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.