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Finding the Fourth Proportional to 117.72, 162.72 and 106.92

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Solution

The fourth proportional to 117.72, 162.72 and 106.92 is: 147.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.72 : 162.72 = 106.92 : x
  2. Step 2: Convert to fraction form
    117.72/162.72 = 106.92/x
  3. Step 3: Cross multiply
    117.72x = 162.72 × 106.92
  4. Step 4: Simplify right side
    117.72x = 17,398.02
  5. Step 5: Solve for x
    x = 17,398.02/117.72
  6. Step 6: Final answer
    x = 147.79

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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.