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Finding the Fourth Proportional to 116.25, 174.38 and 96.81

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Solution

The fourth proportional to 116.25, 174.38 and 96.81 is: 145.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.25 : 174.38 = 96.81 : x
  2. Step 2: Convert to fraction form
    116.25/174.38 = 96.81/x
  3. Step 3: Cross multiply
    116.25x = 174.38 × 96.81
  4. Step 4: Simplify right side
    116.25x = 16,881.24
  5. Step 5: Solve for x
    x = 16,881.24/116.25
  6. Step 6: Final answer
    x = 145.22

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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.