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Finding the Fourth Proportional to 82.87, 114.41 and 79.03

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Solution

The fourth proportional to 82.87, 114.41 and 79.03 is: 109.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.87 : 114.41 = 79.03 : x
  2. Step 2: Convert to fraction form
    82.87/114.41 = 79.03/x
  3. Step 3: Cross multiply
    82.87x = 114.41 × 79.03
  4. Step 4: Simplify right side
    82.87x = 9,041.52
  5. Step 5: Solve for x
    x = 9,041.52/82.87
  6. Step 6: Final answer
    x = 109.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.