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Finding the Fourth Proportional to 53.84, 74.31 and 32.00

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Solution

The fourth proportional to 53.84, 74.31 and 32.00 is: 44.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.84 : 74.31 = 32.00 : x
  2. Step 2: Convert to fraction form
    53.84/74.31 = 32.00/x
  3. Step 3: Cross multiply
    53.84x = 74.31 × 32.00
  4. Step 4: Simplify right side
    53.84x = 2,377.55
  5. Step 5: Solve for x
    x = 2,377.55/53.84
  6. Step 6: Final answer
    x = 44.16

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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.