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Finding the Fourth Proportional to 133.48, 200.16 and 42.16

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Solution

The fourth proportional to 133.48, 200.16 and 42.16 is: 63.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.48 : 200.16 = 42.16 : x
  2. Step 2: Convert to fraction form
    133.48/200.16 = 42.16/x
  3. Step 3: Cross multiply
    133.48x = 200.16 × 42.16
  4. Step 4: Simplify right side
    133.48x = 8,438.75
  5. Step 5: Solve for x
    x = 8,438.75/133.48
  6. Step 6: Final answer
    x = 63.22

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Why These Related Problems?

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