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Finding the Fourth Proportional to 109.17, 149.94 and 90.71

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Solution

The fourth proportional to 109.17, 149.94 and 90.71 is: 124.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.17 : 149.94 = 90.71 : x
  2. Step 2: Convert to fraction form
    109.17/149.94 = 90.71/x
  3. Step 3: Cross multiply
    109.17x = 149.94 × 90.71
  4. Step 4: Simplify right side
    109.17x = 13,601.06
  5. Step 5: Solve for x
    x = 13,601.06/109.17
  6. Step 6: Final answer
    x = 124.59

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