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Finding the Fourth Proportional to 116.18, 174.27 and 64.85

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Solution

The fourth proportional to 116.18, 174.27 and 64.85 is: 97.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.18 : 174.27 = 64.85 : x
  2. Step 2: Convert to fraction form
    116.18/174.27 = 64.85/x
  3. Step 3: Cross multiply
    116.18x = 174.27 × 64.85
  4. Step 4: Simplify right side
    116.18x = 11,301.41
  5. Step 5: Solve for x
    x = 11,301.41/116.18
  6. Step 6: Final answer
    x = 97.28

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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.