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Finding the Fourth Proportional to 117.26, 176.02 and 98.22

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Solution

The fourth proportional to 117.26, 176.02 and 98.22 is: 147.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.26 : 176.02 = 98.22 : x
  2. Step 2: Convert to fraction form
    117.26/176.02 = 98.22/x
  3. Step 3: Cross multiply
    117.26x = 176.02 × 98.22
  4. Step 4: Simplify right side
    117.26x = 17,288.68
  5. Step 5: Solve for x
    x = 17,288.68/117.26
  6. Step 6: Final answer
    x = 147.44

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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.