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Finding the Fourth Proportional to 85.16, 117.68 and 77.88

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Solution

The fourth proportional to 85.16, 117.68 and 77.88 is: 107.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.16 : 117.68 = 77.88 : x
  2. Step 2: Convert to fraction form
    85.16/117.68 = 77.88/x
  3. Step 3: Cross multiply
    85.16x = 117.68 × 77.88
  4. Step 4: Simplify right side
    85.16x = 9,164.92
  5. Step 5: Solve for x
    x = 9,164.92/85.16
  6. Step 6: Final answer
    x = 107.62

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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.