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Finding the Fourth Proportional to 117.08, 161.19 and 89.27

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Solution

The fourth proportional to 117.08, 161.19 and 89.27 is: 122.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.08 : 161.19 = 89.27 : x
  2. Step 2: Convert to fraction form
    117.08/161.19 = 89.27/x
  3. Step 3: Cross multiply
    117.08x = 161.19 × 89.27
  4. Step 4: Simplify right side
    117.08x = 14,389.23
  5. Step 5: Solve for x
    x = 14,389.23/117.08
  6. Step 6: Final answer
    x = 122.90

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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.