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Finding the Fourth Proportional to 53.37, 73.71 and 52.02

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Solution

The fourth proportional to 53.37, 73.71 and 52.02 is: 71.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.37 : 73.71 = 52.02 : x
  2. Step 2: Convert to fraction form
    53.37/73.71 = 52.02/x
  3. Step 3: Cross multiply
    53.37x = 73.71 × 52.02
  4. Step 4: Simplify right side
    53.37x = 3,834.39
  5. Step 5: Solve for x
    x = 3,834.39/53.37
  6. Step 6: Final answer
    x = 71.85

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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.