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Finding the Fourth Proportional to 155.25, 232.58 and 78.03

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Solution

The fourth proportional to 155.25, 232.58 and 78.03 is: 116.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.25 : 232.58 = 78.03 : x
  2. Step 2: Convert to fraction form
    155.25/232.58 = 78.03/x
  3. Step 3: Cross multiply
    155.25x = 232.58 × 78.03
  4. Step 4: Simplify right side
    155.25x = 18,147.64
  5. Step 5: Solve for x
    x = 18,147.64/155.25
  6. Step 6: Final answer
    x = 116.89

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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.