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Finding the Fourth Proportional to 142.59, 196.85 and 135.06

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Solution

The fourth proportional to 142.59, 196.85 and 135.06 is: 186.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.59 : 196.85 = 135.06 : x
  2. Step 2: Convert to fraction form
    142.59/196.85 = 135.06/x
  3. Step 3: Cross multiply
    142.59x = 196.85 × 135.06
  4. Step 4: Simplify right side
    142.59x = 26,586.56
  5. Step 5: Solve for x
    x = 26,586.56/142.59
  6. Step 6: Final answer
    x = 186.45

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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.