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Finding the Fourth Proportional to 88.12, 120.89 and 82.60

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Solution

The fourth proportional to 88.12, 120.89 and 82.60 is: 113.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.12 : 120.89 = 82.60 : x
  2. Step 2: Convert to fraction form
    88.12/120.89 = 82.60/x
  3. Step 3: Cross multiply
    88.12x = 120.89 × 82.60
  4. Step 4: Simplify right side
    88.12x = 9,985.51
  5. Step 5: Solve for x
    x = 9,985.51/88.12
  6. Step 6: Final answer
    x = 113.32

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.