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Finding the Fourth Proportional to 116.23, 160.39 and 63.77

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Solution

The fourth proportional to 116.23, 160.39 and 63.77 is: 87.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.23 : 160.39 = 63.77 : x
  2. Step 2: Convert to fraction form
    116.23/160.39 = 63.77/x
  3. Step 3: Cross multiply
    116.23x = 160.39 × 63.77
  4. Step 4: Simplify right side
    116.23x = 10,226.95
  5. Step 5: Solve for x
    x = 10,226.95/116.23
  6. Step 6: Final answer
    x = 87.99

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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.