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Finding the Fourth Proportional to 135.10, 202.63 and 37.61

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Solution

The fourth proportional to 135.10, 202.63 and 37.61 is: 56.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.10 : 202.63 = 37.61 : x
  2. Step 2: Convert to fraction form
    135.10/202.63 = 37.61/x
  3. Step 3: Cross multiply
    135.10x = 202.63 × 37.61
  4. Step 4: Simplify right side
    135.10x = 7,619.96
  5. Step 5: Solve for x
    x = 7,619.96/135.10
  6. Step 6: Final answer
    x = 56.40

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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.