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Finding the Fourth Proportional to 53.22, 73.74 and 52.57

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Solution

The fourth proportional to 53.22, 73.74 and 52.57 is: 72.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.22 : 73.74 = 52.57 : x
  2. Step 2: Convert to fraction form
    53.22/73.74 = 52.57/x
  3. Step 3: Cross multiply
    53.22x = 73.74 × 52.57
  4. Step 4: Simplify right side
    53.22x = 3,876.51
  5. Step 5: Solve for x
    x = 3,876.51/53.22
  6. Step 6: Final answer
    x = 72.84

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.