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Finding the Fourth Proportional to 117.03, 160.41 and 112.92

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Solution

The fourth proportional to 117.03, 160.41 and 112.92 is: 154.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.03 : 160.41 = 112.92 : x
  2. Step 2: Convert to fraction form
    117.03/160.41 = 112.92/x
  3. Step 3: Cross multiply
    117.03x = 160.41 × 112.92
  4. Step 4: Simplify right side
    117.03x = 18,113.50
  5. Step 5: Solve for x
    x = 18,113.50/117.03
  6. Step 6: Final answer
    x = 154.78

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.