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Finding the Fourth Proportional to 117.25, 176.03 and 83.03

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Solution

The fourth proportional to 117.25, 176.03 and 83.03 is: 124.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.25 : 176.03 = 83.03 : x
  2. Step 2: Convert to fraction form
    117.25/176.03 = 83.03/x
  3. Step 3: Cross multiply
    117.25x = 176.03 × 83.03
  4. Step 4: Simplify right side
    117.25x = 14,614.48
  5. Step 5: Solve for x
    x = 14,614.48/117.25
  6. Step 6: Final answer
    x = 124.65

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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.