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Finding the Fourth Proportional to 116.33, 174.42 and 64.95

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Solution

The fourth proportional to 116.33, 174.42 and 64.95 is: 97.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.33 : 174.42 = 64.95 : x
  2. Step 2: Convert to fraction form
    116.33/174.42 = 64.95/x
  3. Step 3: Cross multiply
    116.33x = 174.42 × 64.95
  4. Step 4: Simplify right side
    116.33x = 11,328.58
  5. Step 5: Solve for x
    x = 11,328.58/116.33
  6. Step 6: Final answer
    x = 97.39

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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.