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Finding the Fourth Proportional to 134.08, 201.10 and 37.88

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Solution

The fourth proportional to 134.08, 201.10 and 37.88 is: 56.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.08 : 201.10 = 37.88 : x
  2. Step 2: Convert to fraction form
    134.08/201.10 = 37.88/x
  3. Step 3: Cross multiply
    134.08x = 201.10 × 37.88
  4. Step 4: Simplify right side
    134.08x = 7,617.67
  5. Step 5: Solve for x
    x = 7,617.67/134.08
  6. Step 6: Final answer
    x = 56.81

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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.