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Finding the Fourth Proportional to 117.98, 162.74 and 85.17

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Solution

The fourth proportional to 117.98, 162.74 and 85.17 is: 117.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.98 : 162.74 = 85.17 : x
  2. Step 2: Convert to fraction form
    117.98/162.74 = 85.17/x
  3. Step 3: Cross multiply
    117.98x = 162.74 × 85.17
  4. Step 4: Simplify right side
    117.98x = 13,860.57
  5. Step 5: Solve for x
    x = 13,860.57/117.98
  6. Step 6: Final answer
    x = 117.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.