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Finding the Fourth Proportional to 142.55, 196.69 and 127.06

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Solution

The fourth proportional to 142.55, 196.69 and 127.06 is: 175.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.55 : 196.69 = 127.06 : x
  2. Step 2: Convert to fraction form
    142.55/196.69 = 127.06/x
  3. Step 3: Cross multiply
    142.55x = 196.69 × 127.06
  4. Step 4: Simplify right side
    142.55x = 24,991.43
  5. Step 5: Solve for x
    x = 24,991.43/142.55
  6. Step 6: Final answer
    x = 175.32

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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.