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Finding the Fourth Proportional to 116.88, 161.32 and 78.08

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Solution

The fourth proportional to 116.88, 161.32 and 78.08 is: 107.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.88 : 161.32 = 78.08 : x
  2. Step 2: Convert to fraction form
    116.88/161.32 = 78.08/x
  3. Step 3: Cross multiply
    116.88x = 161.32 × 78.08
  4. Step 4: Simplify right side
    116.88x = 12,595.87
  5. Step 5: Solve for x
    x = 12,595.87/116.88
  6. Step 6: Final answer
    x = 107.77

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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.