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Finding the Fourth Proportional to 85.08, 117.34 and 76.98

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Solution

The fourth proportional to 85.08, 117.34 and 76.98 is: 106.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.08 : 117.34 = 76.98 : x
  2. Step 2: Convert to fraction form
    85.08/117.34 = 76.98/x
  3. Step 3: Cross multiply
    85.08x = 117.34 × 76.98
  4. Step 4: Simplify right side
    85.08x = 9,032.83
  5. Step 5: Solve for x
    x = 9,032.83/85.08
  6. Step 6: Final answer
    x = 106.17

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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.