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Finding the Fourth Proportional to 53.46, 73.79 and 32.74

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Solution

The fourth proportional to 53.46, 73.79 and 32.74 is: 45.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.46 : 73.79 = 32.74 : x
  2. Step 2: Convert to fraction form
    53.46/73.79 = 32.74/x
  3. Step 3: Cross multiply
    53.46x = 73.79 × 32.74
  4. Step 4: Simplify right side
    53.46x = 2,415.78
  5. Step 5: Solve for x
    x = 2,415.78/53.46
  6. Step 6: Final answer
    x = 45.19

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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.