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Finding the Fourth Proportional to 108.91, 150.31 and 65.27

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Solution

The fourth proportional to 108.91, 150.31 and 65.27 is: 90.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.91 : 150.31 = 65.27 : x
  2. Step 2: Convert to fraction form
    108.91/150.31 = 65.27/x
  3. Step 3: Cross multiply
    108.91x = 150.31 × 65.27
  4. Step 4: Simplify right side
    108.91x = 9,810.73
  5. Step 5: Solve for x
    x = 9,810.73/108.91
  6. Step 6: Final answer
    x = 90.08

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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.