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Finding the Fourth Proportional to 142.35, 213.72 and 117.03

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Solution

The fourth proportional to 142.35, 213.72 and 117.03 is: 175.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.35 : 213.72 = 117.03 : x
  2. Step 2: Convert to fraction form
    142.35/213.72 = 117.03/x
  3. Step 3: Cross multiply
    142.35x = 213.72 × 117.03
  4. Step 4: Simplify right side
    142.35x = 25,011.65
  5. Step 5: Solve for x
    x = 25,011.65/142.35
  6. Step 6: Final answer
    x = 175.71

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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.