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Finding the Fourth Proportional to 155.40, 233.14 and 83.30

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Solution

The fourth proportional to 155.40, 233.14 and 83.30 is: 124.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.40 : 233.14 = 83.30 : x
  2. Step 2: Convert to fraction form
    155.40/233.14 = 83.30/x
  3. Step 3: Cross multiply
    155.40x = 233.14 × 83.30
  4. Step 4: Simplify right side
    155.40x = 19,420.56
  5. Step 5: Solve for x
    x = 19,420.56/155.40
  6. Step 6: Final answer
    x = 124.97

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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.