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Finding the Fourth Proportional to 191.54, 287.34 and 88.81

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Solution

The fourth proportional to 191.54, 287.34 and 88.81 is: 133.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.54 : 287.34 = 88.81 : x
  2. Step 2: Convert to fraction form
    191.54/287.34 = 88.81/x
  3. Step 3: Cross multiply
    191.54x = 287.34 × 88.81
  4. Step 4: Simplify right side
    191.54x = 25,518.22
  5. Step 5: Solve for x
    x = 25,518.22/191.54
  6. Step 6: Final answer
    x = 133.23

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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.