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Finding the Fourth Proportional to 142.16, 212.02 and 136.89

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Solution

The fourth proportional to 142.16, 212.02 and 136.89 is: 204.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.16 : 212.02 = 136.89 : x
  2. Step 2: Convert to fraction form
    142.16/212.02 = 136.89/x
  3. Step 3: Cross multiply
    142.16x = 212.02 × 136.89
  4. Step 4: Simplify right side
    142.16x = 29,023.08
  5. Step 5: Solve for x
    x = 29,023.08/142.16
  6. Step 6: Final answer
    x = 204.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.