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Finding the Fourth Proportional to 85.14, 117.30 and 76.36

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Solution

The fourth proportional to 85.14, 117.30 and 76.36 is: 105.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.14 : 117.30 = 76.36 : x
  2. Step 2: Convert to fraction form
    85.14/117.30 = 76.36/x
  3. Step 3: Cross multiply
    85.14x = 117.30 × 76.36
  4. Step 4: Simplify right side
    85.14x = 8,957.03
  5. Step 5: Solve for x
    x = 8,957.03/85.14
  6. Step 6: Final answer
    x = 105.21

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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.