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Finding the Fourth Proportional to 155.13, 232.53 and 109.50

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Solution

The fourth proportional to 155.13, 232.53 and 109.50 is: 164.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.13 : 232.53 = 109.50 : x
  2. Step 2: Convert to fraction form
    155.13/232.53 = 109.50/x
  3. Step 3: Cross multiply
    155.13x = 232.53 × 109.50
  4. Step 4: Simplify right side
    155.13x = 25,462.04
  5. Step 5: Solve for x
    x = 25,462.04/155.13
  6. Step 6: Final answer
    x = 164.13

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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.