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Finding the Fourth Proportional to 151.11, 208.54 and 84.72

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Solution

The fourth proportional to 151.11, 208.54 and 84.72 is: 116.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.11 : 208.54 = 84.72 : x
  2. Step 2: Convert to fraction form
    151.11/208.54 = 84.72/x
  3. Step 3: Cross multiply
    151.11x = 208.54 × 84.72
  4. Step 4: Simplify right side
    151.11x = 17,667.76
  5. Step 5: Solve for x
    x = 17,667.76/151.11
  6. Step 6: Final answer
    x = 116.92

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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.