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Finding the Fourth Proportional to 155.43, 233.02 and 78.32

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Solution

The fourth proportional to 155.43, 233.02 and 78.32 is: 117.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.43 : 233.02 = 78.32 : x
  2. Step 2: Convert to fraction form
    155.43/233.02 = 78.32/x
  3. Step 3: Cross multiply
    155.43x = 233.02 × 78.32
  4. Step 4: Simplify right side
    155.43x = 18,250.13
  5. Step 5: Solve for x
    x = 18,250.13/155.43
  6. Step 6: Final answer
    x = 117.42

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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.