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Finding the Fourth Proportional to 109.65, 151.31 and 65.99

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Solution

The fourth proportional to 109.65, 151.31 and 65.99 is: 91.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.65 : 151.31 = 65.99 : x
  2. Step 2: Convert to fraction form
    109.65/151.31 = 65.99/x
  3. Step 3: Cross multiply
    109.65x = 151.31 × 65.99
  4. Step 4: Simplify right side
    109.65x = 9,983.86
  5. Step 5: Solve for x
    x = 9,983.86/109.65
  6. Step 6: Final answer
    x = 91.05

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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.