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Finding the Fourth Proportional to 116.25, 174.29 and 72.86

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Solution

The fourth proportional to 116.25, 174.29 and 72.86 is: 109.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.25 : 174.29 = 72.86 : x
  2. Step 2: Convert to fraction form
    116.25/174.29 = 72.86/x
  3. Step 3: Cross multiply
    116.25x = 174.29 × 72.86
  4. Step 4: Simplify right side
    116.25x = 12,697.53
  5. Step 5: Solve for x
    x = 12,697.53/116.25
  6. Step 6: Final answer
    x = 109.23

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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.