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Finding the Fourth Proportional to 116.63, 174.96 and 108.53

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Solution

The fourth proportional to 116.63, 174.96 and 108.53 is: 162.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.63 : 174.96 = 108.53 : x
  2. Step 2: Convert to fraction form
    116.63/174.96 = 108.53/x
  3. Step 3: Cross multiply
    116.63x = 174.96 × 108.53
  4. Step 4: Simplify right side
    116.63x = 18,988.41
  5. Step 5: Solve for x
    x = 18,988.41/116.63
  6. Step 6: Final answer
    x = 162.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.