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Finding the Fourth Proportional to 109.55, 151.25 and 86.33

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Solution

The fourth proportional to 109.55, 151.25 and 86.33 is: 119.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.55 : 151.25 = 86.33 : x
  2. Step 2: Convert to fraction form
    109.55/151.25 = 86.33/x
  3. Step 3: Cross multiply
    109.55x = 151.25 × 86.33
  4. Step 4: Simplify right side
    109.55x = 13,056.22
  5. Step 5: Solve for x
    x = 13,056.22/109.55
  6. Step 6: Final answer
    x = 119.19

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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.