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Finding the Fourth Proportional to 55.77, 83.55 and 37.74

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Solution

The fourth proportional to 55.77, 83.55 and 37.74 is: 56.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.77 : 83.55 = 37.74 : x
  2. Step 2: Convert to fraction form
    55.77/83.55 = 37.74/x
  3. Step 3: Cross multiply
    55.77x = 83.55 × 37.74
  4. Step 4: Simplify right side
    55.77x = 3,153.18
  5. Step 5: Solve for x
    x = 3,153.18/55.77
  6. Step 6: Final answer
    x = 56.54

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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.