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Finding the Fourth Proportional to 142.90, 212.90 and 136

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Solution

The fourth proportional to 142.90, 212.90 and 136 is: 202.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.90 : 212.90 = 136 : x
  2. Step 2: Convert to fraction form
    142.90/212.90 = 136/x
  3. Step 3: Cross multiply
    142.90x = 212.90 × 136
  4. Step 4: Simplify right side
    142.90x = 28,954.40
  5. Step 5: Solve for x
    x = 28,954.40/142.90
  6. Step 6: Final answer
    x = 202.62

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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.