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Finding the Fourth Proportional to 85.59, 118.02 and 76.98

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Solution

The fourth proportional to 85.59, 118.02 and 76.98 is: 106.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.59 : 118.02 = 76.98 : x
  2. Step 2: Convert to fraction form
    85.59/118.02 = 76.98/x
  3. Step 3: Cross multiply
    85.59x = 118.02 × 76.98
  4. Step 4: Simplify right side
    85.59x = 9,085.18
  5. Step 5: Solve for x
    x = 9,085.18/85.59
  6. Step 6: Final answer
    x = 106.15

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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.