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Finding the Fourth Proportional to 156.13, 234.19 and 75.03

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Solution

The fourth proportional to 156.13, 234.19 and 75.03 is: 112.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.13 : 234.19 = 75.03 : x
  2. Step 2: Convert to fraction form
    156.13/234.19 = 75.03/x
  3. Step 3: Cross multiply
    156.13x = 234.19 × 75.03
  4. Step 4: Simplify right side
    156.13x = 17,570.49
  5. Step 5: Solve for x
    x = 17,570.49/156.13
  6. Step 6: Final answer
    x = 112.54

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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.