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Finding the Fourth Proportional to 116.68, 174.96 and 65.20

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Solution

The fourth proportional to 116.68, 174.96 and 65.20 is: 97.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.68 : 174.96 = 65.20 : x
  2. Step 2: Convert to fraction form
    116.68/174.96 = 65.20/x
  3. Step 3: Cross multiply
    116.68x = 174.96 × 65.20
  4. Step 4: Simplify right side
    116.68x = 11,407.39
  5. Step 5: Solve for x
    x = 11,407.39/116.68
  6. Step 6: Final answer
    x = 97.77

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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.