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Finding the Fourth Proportional to 116.66, 174.13 and 109.04

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Solution

The fourth proportional to 116.66, 174.13 and 109.04 is: 162.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.66 : 174.13 = 109.04 : x
  2. Step 2: Convert to fraction form
    116.66/174.13 = 109.04/x
  3. Step 3: Cross multiply
    116.66x = 174.13 × 109.04
  4. Step 4: Simplify right side
    116.66x = 18,985.99
  5. Step 5: Solve for x
    x = 18,985.99/116.66
  6. Step 6: Final answer
    x = 162.74

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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.