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Finding the Fourth Proportional to 191.72, 287.35 and 89.05

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Solution

The fourth proportional to 191.72, 287.35 and 89.05 is: 133.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.72 : 287.35 = 89.05 : x
  2. Step 2: Convert to fraction form
    191.72/287.35 = 89.05/x
  3. Step 3: Cross multiply
    191.72x = 287.35 × 89.05
  4. Step 4: Simplify right side
    191.72x = 25,588.12
  5. Step 5: Solve for x
    x = 25,588.12/191.72
  6. Step 6: Final answer
    x = 133.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.