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Finding the Fourth Proportional to 116.59, 174.67 and 73.19

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Solution

The fourth proportional to 116.59, 174.67 and 73.19 is: 109.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.59 : 174.67 = 73.19 : x
  2. Step 2: Convert to fraction form
    116.59/174.67 = 73.19/x
  3. Step 3: Cross multiply
    116.59x = 174.67 × 73.19
  4. Step 4: Simplify right side
    116.59x = 12,783.41
  5. Step 5: Solve for x
    x = 12,783.41/116.59
  6. Step 6: Final answer
    x = 109.65

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Why These Related Problems?

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