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Finding the Fourth Proportional to 56.07, 83.59 and 52.22

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Solution

The fourth proportional to 56.07, 83.59 and 52.22 is: 77.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.07 : 83.59 = 52.22 : x
  2. Step 2: Convert to fraction form
    56.07/83.59 = 52.22/x
  3. Step 3: Cross multiply
    56.07x = 83.59 × 52.22
  4. Step 4: Simplify right side
    56.07x = 4,365.15
  5. Step 5: Solve for x
    x = 4,365.15/56.07
  6. Step 6: Final answer
    x = 77.85

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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.