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Finding the Fourth Proportional to 122.76, 168.84 and 117.72

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Solution

The fourth proportional to 122.76, 168.84 and 117.72 is: 161.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.76 : 168.84 = 117.72 : x
  2. Step 2: Convert to fraction form
    122.76/168.84 = 117.72/x
  3. Step 3: Cross multiply
    122.76x = 168.84 × 117.72
  4. Step 4: Simplify right side
    122.76x = 19,875.84
  5. Step 5: Solve for x
    x = 19,875.84/122.76
  6. Step 6: Final answer
    x = 161.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.