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Finding the Fourth Proportional to 109.86, 151.58 and 66.18

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Solution

The fourth proportional to 109.86, 151.58 and 66.18 is: 91.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.86 : 151.58 = 66.18 : x
  2. Step 2: Convert to fraction form
    109.86/151.58 = 66.18/x
  3. Step 3: Cross multiply
    109.86x = 151.58 × 66.18
  4. Step 4: Simplify right side
    109.86x = 10,031.56
  5. Step 5: Solve for x
    x = 10,031.56/109.86
  6. Step 6: Final answer
    x = 91.31

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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.