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Finding the Fourth Proportional to 127.01, 174.82 and 106.06

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Solution

The fourth proportional to 127.01, 174.82 and 106.06 is: 145.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.01 : 174.82 = 106.06 : x
  2. Step 2: Convert to fraction form
    127.01/174.82 = 106.06/x
  3. Step 3: Cross multiply
    127.01x = 174.82 × 106.06
  4. Step 4: Simplify right side
    127.01x = 18,540.54
  5. Step 5: Solve for x
    x = 18,540.54/127.01
  6. Step 6: Final answer
    x = 145.98

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