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Finding the Fourth Proportional to 55.76, 83.57 and 52.38

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Solution

The fourth proportional to 55.76, 83.57 and 52.38 is: 78.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.76 : 83.57 = 52.38 : x
  2. Step 2: Convert to fraction form
    55.76/83.57 = 52.38/x
  3. Step 3: Cross multiply
    55.76x = 83.57 × 52.38
  4. Step 4: Simplify right side
    55.76x = 4,377.13
  5. Step 5: Solve for x
    x = 4,377.13/55.76
  6. Step 6: Final answer
    x = 78.51

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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.