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Finding the Fourth Proportional to 117.09, 175.47 and 84.42

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Solution

The fourth proportional to 117.09, 175.47 and 84.42 is: 126.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.09 : 175.47 = 84.42 : x
  2. Step 2: Convert to fraction form
    117.09/175.47 = 84.42/x
  3. Step 3: Cross multiply
    117.09x = 175.47 × 84.42
  4. Step 4: Simplify right side
    117.09x = 14,813.18
  5. Step 5: Solve for x
    x = 14,813.18/117.09
  6. Step 6: Final answer
    x = 126.51

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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.