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Finding the Fourth Proportional to 109.17, 150.09 and 93.57

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Solution

The fourth proportional to 109.17, 150.09 and 93.57 is: 128.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.17 : 150.09 = 93.57 : x
  2. Step 2: Convert to fraction form
    109.17/150.09 = 93.57/x
  3. Step 3: Cross multiply
    109.17x = 150.09 × 93.57
  4. Step 4: Simplify right side
    109.17x = 14,043.92
  5. Step 5: Solve for x
    x = 14,043.92/109.17
  6. Step 6: Final answer
    x = 128.64

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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.