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Finding the Fourth Proportional to 55.83, 83.65 and 37.76

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Solution

The fourth proportional to 55.83, 83.65 and 37.76 is: 56.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.83 : 83.65 = 37.76 : x
  2. Step 2: Convert to fraction form
    55.83/83.65 = 37.76/x
  3. Step 3: Cross multiply
    55.83x = 83.65 × 37.76
  4. Step 4: Simplify right side
    55.83x = 3,158.62
  5. Step 5: Solve for x
    x = 3,158.62/55.83
  6. Step 6: Final answer
    x = 56.58

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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.