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Finding the Fourth Proportional to 109.83, 151.50 and 82.17

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Solution

The fourth proportional to 109.83, 151.50 and 82.17 is: 113.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.83 : 151.50 = 82.17 : x
  2. Step 2: Convert to fraction form
    109.83/151.50 = 82.17/x
  3. Step 3: Cross multiply
    109.83x = 151.50 × 82.17
  4. Step 4: Simplify right side
    109.83x = 12,448.76
  5. Step 5: Solve for x
    x = 12,448.76/109.83
  6. Step 6: Final answer
    x = 113.35

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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.