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Finding the Fourth Proportional to 37.12, 55.71 and 35.07

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Solution

The fourth proportional to 37.12, 55.71 and 35.07 is: 52.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.12 : 55.71 = 35.07 : x
  2. Step 2: Convert to fraction form
    37.12/55.71 = 35.07/x
  3. Step 3: Cross multiply
    37.12x = 55.71 × 35.07
  4. Step 4: Simplify right side
    37.12x = 1,953.64
  5. Step 5: Solve for x
    x = 1,953.64/37.12
  6. Step 6: Final answer
    x = 52.64

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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.