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Finding the Fourth Proportional to 117.36, 174.78 and 114.12

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Solution

The fourth proportional to 117.36, 174.78 and 114.12 is: 169.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.36 : 174.78 = 114.12 : x
  2. Step 2: Convert to fraction form
    117.36/174.78 = 114.12/x
  3. Step 3: Cross multiply
    117.36x = 174.78 × 114.12
  4. Step 4: Simplify right side
    117.36x = 19,945.89
  5. Step 5: Solve for x
    x = 19,945.89/117.36
  6. Step 6: Final answer
    x = 169.95

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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.