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Finding the Fourth Proportional to 53.49, 73.77 and 37.10

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Solution

The fourth proportional to 53.49, 73.77 and 37.10 is: 51.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.49 : 73.77 = 37.10 : x
  2. Step 2: Convert to fraction form
    53.49/73.77 = 37.10/x
  3. Step 3: Cross multiply
    53.49x = 73.77 × 37.10
  4. Step 4: Simplify right side
    53.49x = 2,736.87
  5. Step 5: Solve for x
    x = 2,736.87/53.49
  6. Step 6: Final answer
    x = 51.17

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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.