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Finding the Fourth Proportional to 117.84, 175.55 and 114.26

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Solution

The fourth proportional to 117.84, 175.55 and 114.26 is: 170.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.84 : 175.55 = 114.26 : x
  2. Step 2: Convert to fraction form
    117.84/175.55 = 114.26/x
  3. Step 3: Cross multiply
    117.84x = 175.55 × 114.26
  4. Step 4: Simplify right side
    117.84x = 20,057.33
  5. Step 5: Solve for x
    x = 20,057.33/117.84
  6. Step 6: Final answer
    x = 170.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.