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Finding the Fourth Proportional to 117.11, 174.28 and 112.79

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Solution

The fourth proportional to 117.11, 174.28 and 112.79 is: 167.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.11 : 174.28 = 112.79 : x
  2. Step 2: Convert to fraction form
    117.11/174.28 = 112.79/x
  3. Step 3: Cross multiply
    117.11x = 174.28 × 112.79
  4. Step 4: Simplify right side
    117.11x = 19,655.89
  5. Step 5: Solve for x
    x = 19,655.89/117.11
  6. Step 6: Final answer
    x = 167.85

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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.