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Finding the Fourth Proportional to 109.30, 162.71 and 108.70

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Solution

The fourth proportional to 109.30, 162.71 and 108.70 is: 161.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.30 : 162.71 = 108.70 : x
  2. Step 2: Convert to fraction form
    109.30/162.71 = 108.70/x
  3. Step 3: Cross multiply
    109.30x = 162.71 × 108.70
  4. Step 4: Simplify right side
    109.30x = 17,686.58
  5. Step 5: Solve for x
    x = 17,686.58/109.30
  6. Step 6: Final answer
    x = 161.82

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.