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Finding the Fourth Proportional to 122.34, 182.72 and 117.12

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Solution

The fourth proportional to 122.34, 182.72 and 117.12 is: 174.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.34 : 182.72 = 117.12 : x
  2. Step 2: Convert to fraction form
    122.34/182.72 = 117.12/x
  3. Step 3: Cross multiply
    122.34x = 182.72 × 117.12
  4. Step 4: Simplify right side
    122.34x = 21,399.58
  5. Step 5: Solve for x
    x = 21,399.58/122.34
  6. Step 6: Final answer
    x = 174.92

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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.