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Finding the Fourth Proportional to 151.15, 208.57 and 84.76

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Solution

The fourth proportional to 151.15, 208.57 and 84.76 is: 116.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.15 : 208.57 = 84.76 : x
  2. Step 2: Convert to fraction form
    151.15/208.57 = 84.76/x
  3. Step 3: Cross multiply
    151.15x = 208.57 × 84.76
  4. Step 4: Simplify right side
    151.15x = 17,678.39
  5. Step 5: Solve for x
    x = 17,678.39/151.15
  6. Step 6: Final answer
    x = 116.96

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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.