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Finding the Fourth Proportional to 117.10, 174.97 and 112.30

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Solution

The fourth proportional to 117.10, 174.97 and 112.30 is: 167.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.10 : 174.97 = 112.30 : x
  2. Step 2: Convert to fraction form
    117.10/174.97 = 112.30/x
  3. Step 3: Cross multiply
    117.10x = 174.97 × 112.30
  4. Step 4: Simplify right side
    117.10x = 19,648.57
  5. Step 5: Solve for x
    x = 19,648.57/117.10
  6. Step 6: Final answer
    x = 167.79

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Why These Related Problems?

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