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Finding the Fourth Proportional to 53.51, 73.83 and 34.10

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Solution

The fourth proportional to 53.51, 73.83 and 34.10 is: 47.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.51 : 73.83 = 34.10 : x
  2. Step 2: Convert to fraction form
    53.51/73.83 = 34.10/x
  3. Step 3: Cross multiply
    53.51x = 73.83 × 34.10
  4. Step 4: Simplify right side
    53.51x = 2,517.60
  5. Step 5: Solve for x
    x = 2,517.60/53.51
  6. Step 6: Final answer
    x = 47.05

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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.