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Finding the Fourth Proportional to 133.69, 200.59 and 47.03

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Solution

The fourth proportional to 133.69, 200.59 and 47.03 is: 70.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.69 : 200.59 = 47.03 : x
  2. Step 2: Convert to fraction form
    133.69/200.59 = 47.03/x
  3. Step 3: Cross multiply
    133.69x = 200.59 × 47.03
  4. Step 4: Simplify right side
    133.69x = 9,434.13
  5. Step 5: Solve for x
    x = 9,434.13/133.69
  6. Step 6: Final answer
    x = 70.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.