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Finding the Fourth Proportional to 53.68, 73.96 and 43.32

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Solution

The fourth proportional to 53.68, 73.96 and 43.32 is: 59.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.68 : 73.96 = 43.32 : x
  2. Step 2: Convert to fraction form
    53.68/73.96 = 43.32/x
  3. Step 3: Cross multiply
    53.68x = 73.96 × 43.32
  4. Step 4: Simplify right side
    53.68x = 3,203.95
  5. Step 5: Solve for x
    x = 3,203.95/53.68
  6. Step 6: Final answer
    x = 59.69

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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.