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Finding the Fourth Proportional to 116.54, 160.82 and 64.79

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Solution

The fourth proportional to 116.54, 160.82 and 64.79 is: 89.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.54 : 160.82 = 64.79 : x
  2. Step 2: Convert to fraction form
    116.54/160.82 = 64.79/x
  3. Step 3: Cross multiply
    116.54x = 160.82 × 64.79
  4. Step 4: Simplify right side
    116.54x = 10,419.53
  5. Step 5: Solve for x
    x = 10,419.53/116.54
  6. Step 6: Final answer
    x = 89.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.