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Finding the Fourth Proportional to 117.00, 174.54 and 112.79

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Solution

The fourth proportional to 117.00, 174.54 and 112.79 is: 168.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.00 : 174.54 = 112.79 : x
  2. Step 2: Convert to fraction form
    117.00/174.54 = 112.79/x
  3. Step 3: Cross multiply
    117.00x = 174.54 × 112.79
  4. Step 4: Simplify right side
    117.00x = 19,687.23
  5. Step 5: Solve for x
    x = 19,687.23/117.00
  6. Step 6: Final answer
    x = 168.27

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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.