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Finding the Fourth Proportional to 142.06, 196.46 and 135.62

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Solution

The fourth proportional to 142.06, 196.46 and 135.62 is: 187.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.06 : 196.46 = 135.62 : x
  2. Step 2: Convert to fraction form
    142.06/196.46 = 135.62/x
  3. Step 3: Cross multiply
    142.06x = 196.46 × 135.62
  4. Step 4: Simplify right side
    142.06x = 26,643.91
  5. Step 5: Solve for x
    x = 26,643.91/142.06
  6. Step 6: Final answer
    x = 187.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.