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Finding the Fourth Proportional to 37.67, 56.14 and 36.16

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Solution

The fourth proportional to 37.67, 56.14 and 36.16 is: 53.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.67 : 56.14 = 36.16 : x
  2. Step 2: Convert to fraction form
    37.67/56.14 = 36.16/x
  3. Step 3: Cross multiply
    37.67x = 56.14 × 36.16
  4. Step 4: Simplify right side
    37.67x = 2,030.02
  5. Step 5: Solve for x
    x = 2,030.02/37.67
  6. Step 6: Final answer
    x = 53.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.