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Finding the Fourth Proportional to 155.25, 232.81 and 83.10

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Solution

The fourth proportional to 155.25, 232.81 and 83.10 is: 124.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.25 : 232.81 = 83.10 : x
  2. Step 2: Convert to fraction form
    155.25/232.81 = 83.10/x
  3. Step 3: Cross multiply
    155.25x = 232.81 × 83.10
  4. Step 4: Simplify right side
    155.25x = 19,346.51
  5. Step 5: Solve for x
    x = 19,346.51/155.25
  6. Step 6: Final answer
    x = 124.62

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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.