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Finding the Fourth Proportional to 53.90, 74.27 and 39.32

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Solution

The fourth proportional to 53.90, 74.27 and 39.32 is: 54.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.90 : 74.27 = 39.32 : x
  2. Step 2: Convert to fraction form
    53.90/74.27 = 39.32/x
  3. Step 3: Cross multiply
    53.90x = 74.27 × 39.32
  4. Step 4: Simplify right side
    53.90x = 2,919.73
  5. Step 5: Solve for x
    x = 2,919.73/53.90
  6. Step 6: Final answer
    x = 54.17

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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.