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Finding the Fourth Proportional to 142.79, 214.29 and 97.23

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Solution

The fourth proportional to 142.79, 214.29 and 97.23 is: 145.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.79 : 214.29 = 97.23 : x
  2. Step 2: Convert to fraction form
    142.79/214.29 = 97.23/x
  3. Step 3: Cross multiply
    142.79x = 214.29 × 97.23
  4. Step 4: Simplify right side
    142.79x = 20,835.42
  5. Step 5: Solve for x
    x = 20,835.42/142.79
  6. Step 6: Final answer
    x = 145.92

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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.