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Finding the Fourth Proportional to 117.15, 174.70 and 110.26

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Solution

The fourth proportional to 117.15, 174.70 and 110.26 is: 164.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.15 : 174.70 = 110.26 : x
  2. Step 2: Convert to fraction form
    117.15/174.70 = 110.26/x
  3. Step 3: Cross multiply
    117.15x = 174.70 × 110.26
  4. Step 4: Simplify right side
    117.15x = 19,262.42
  5. Step 5: Solve for x
    x = 19,262.42/117.15
  6. Step 6: Final answer
    x = 164.43

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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.