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Finding the Fourth Proportional to 116.29, 174.33 and 43.15

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Solution

The fourth proportional to 116.29, 174.33 and 43.15 is: 64.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.29 : 174.33 = 43.15 : x
  2. Step 2: Convert to fraction form
    116.29/174.33 = 43.15/x
  3. Step 3: Cross multiply
    116.29x = 174.33 × 43.15
  4. Step 4: Simplify right side
    116.29x = 7,522.34
  5. Step 5: Solve for x
    x = 7,522.34/116.29
  6. Step 6: Final answer
    x = 64.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.