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Finding the Fourth Proportional to 82.60, 113.01 and 82.36

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Solution

The fourth proportional to 82.60, 113.01 and 82.36 is: 112.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.60 : 113.01 = 82.36 : x
  2. Step 2: Convert to fraction form
    82.60/113.01 = 82.36/x
  3. Step 3: Cross multiply
    82.60x = 113.01 × 82.36
  4. Step 4: Simplify right side
    82.60x = 9,307.50
  5. Step 5: Solve for x
    x = 9,307.50/82.60
  6. Step 6: Final answer
    x = 112.68

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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.