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Finding the Fourth Proportional to 55, 75.92 and 37.80

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Solution

The fourth proportional to 55, 75.92 and 37.80 is: 52.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    55 : 75.92 = 37.80 : x
  2. Step 2: Convert to fraction form
    55/75.92 = 37.80/x
  3. Step 3: Cross multiply
    55x = 75.92 × 37.80
  4. Step 4: Simplify right side
    55x = 2,869.78
  5. Step 5: Solve for x
    x = 2,869.78/55
  6. Step 6: Final answer
    x = 52.18

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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.