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Finding the Fourth Proportional to 142.85, 214.11 and 117.23

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Solution

The fourth proportional to 142.85, 214.11 and 117.23 is: 175.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.85 : 214.11 = 117.23 : x
  2. Step 2: Convert to fraction form
    142.85/214.11 = 117.23/x
  3. Step 3: Cross multiply
    142.85x = 214.11 × 117.23
  4. Step 4: Simplify right side
    142.85x = 25,099.04
  5. Step 5: Solve for x
    x = 25,099.04/142.85
  6. Step 6: Final answer
    x = 175.70

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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.