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Finding the Fourth Proportional to 151.10, 208.44 and 95.82

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Solution

The fourth proportional to 151.10, 208.44 and 95.82 is: 132.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.10 : 208.44 = 95.82 : x
  2. Step 2: Convert to fraction form
    151.10/208.44 = 95.82/x
  3. Step 3: Cross multiply
    151.10x = 208.44 × 95.82
  4. Step 4: Simplify right side
    151.10x = 19,972.72
  5. Step 5: Solve for x
    x = 19,972.72/151.10
  6. Step 6: Final answer
    x = 132.18

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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.