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Finding the Fourth Proportional to 117.04, 161.45 and 83.86

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Solution

The fourth proportional to 117.04, 161.45 and 83.86 is: 115.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.04 : 161.45 = 83.86 : x
  2. Step 2: Convert to fraction form
    117.04/161.45 = 83.86/x
  3. Step 3: Cross multiply
    117.04x = 161.45 × 83.86
  4. Step 4: Simplify right side
    117.04x = 13,539.20
  5. Step 5: Solve for x
    x = 13,539.20/117.04
  6. Step 6: Final answer
    x = 115.68

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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.