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Finding the Fourth Proportional to 55.57, 76.61 and 37.14

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Solution

The fourth proportional to 55.57, 76.61 and 37.14 is: 51.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.57 : 76.61 = 37.14 : x
  2. Step 2: Convert to fraction form
    55.57/76.61 = 37.14/x
  3. Step 3: Cross multiply
    55.57x = 76.61 × 37.14
  4. Step 4: Simplify right side
    55.57x = 2,845.30
  5. Step 5: Solve for x
    x = 2,845.30/55.57
  6. Step 6: Final answer
    x = 51.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.