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Finding the Fourth Proportional to 117.80, 176.44 and 112.76

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Solution

The fourth proportional to 117.80, 176.44 and 112.76 is: 168.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.80 : 176.44 = 112.76 : x
  2. Step 2: Convert to fraction form
    117.80/176.44 = 112.76/x
  3. Step 3: Cross multiply
    117.80x = 176.44 × 112.76
  4. Step 4: Simplify right side
    117.80x = 19,895.37
  5. Step 5: Solve for x
    x = 19,895.37/117.80
  6. Step 6: Final answer
    x = 168.89

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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.