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Finding the Fourth Proportional to 53.67, 74.06 and 32.96

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Solution

The fourth proportional to 53.67, 74.06 and 32.96 is: 45.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.67 : 74.06 = 32.96 : x
  2. Step 2: Convert to fraction form
    53.67/74.06 = 32.96/x
  3. Step 3: Cross multiply
    53.67x = 74.06 × 32.96
  4. Step 4: Simplify right side
    53.67x = 2,441.02
  5. Step 5: Solve for x
    x = 2,441.02/53.67
  6. Step 6: Final answer
    x = 45.48

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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.