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Finding the Fourth Proportional to 133.69, 184.71 and 127.03

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Solution

The fourth proportional to 133.69, 184.71 and 127.03 is: 175.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.69 : 184.71 = 127.03 : x
  2. Step 2: Convert to fraction form
    133.69/184.71 = 127.03/x
  3. Step 3: Cross multiply
    133.69x = 184.71 × 127.03
  4. Step 4: Simplify right side
    133.69x = 23,463.71
  5. Step 5: Solve for x
    x = 23,463.71/133.69
  6. Step 6: Final answer
    x = 175.51

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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.