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Finding the Fourth Proportional to 53.85, 74.29 and 32.02

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Solution

The fourth proportional to 53.85, 74.29 and 32.02 is: 44.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.85 : 74.29 = 32.02 : x
  2. Step 2: Convert to fraction form
    53.85/74.29 = 32.02/x
  3. Step 3: Cross multiply
    53.85x = 74.29 × 32.02
  4. Step 4: Simplify right side
    53.85x = 2,378.39
  5. Step 5: Solve for x
    x = 2,378.39/53.85
  6. Step 6: Final answer
    x = 44.17

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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.