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Finding the Fourth Proportional to 56.06, 83.62 and 52.28

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Solution

The fourth proportional to 56.06, 83.62 and 52.28 is: 77.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.06 : 83.62 = 52.28 : x
  2. Step 2: Convert to fraction form
    56.06/83.62 = 52.28/x
  3. Step 3: Cross multiply
    56.06x = 83.62 × 52.28
  4. Step 4: Simplify right side
    56.06x = 4,371.65
  5. Step 5: Solve for x
    x = 4,371.65/56.06
  6. Step 6: Final answer
    x = 77.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.