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Finding the Fourth Proportional to 191.89, 287.76 and 89.10

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Solution

The fourth proportional to 191.89, 287.76 and 89.10 is: 133.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.89 : 287.76 = 89.10 : x
  2. Step 2: Convert to fraction form
    191.89/287.76 = 89.10/x
  3. Step 3: Cross multiply
    191.89x = 287.76 × 89.10
  4. Step 4: Simplify right side
    191.89x = 25,639.42
  5. Step 5: Solve for x
    x = 25,639.42/191.89
  6. Step 6: Final answer
    x = 133.62

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Why These Related Problems?

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