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Finding the Fourth Proportional to 53.80, 74.28 and 35.17

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Solution

The fourth proportional to 53.80, 74.28 and 35.17 is: 48.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.80 : 74.28 = 35.17 : x
  2. Step 2: Convert to fraction form
    53.80/74.28 = 35.17/x
  3. Step 3: Cross multiply
    53.80x = 74.28 × 35.17
  4. Step 4: Simplify right side
    53.80x = 2,612.43
  5. Step 5: Solve for x
    x = 2,612.43/53.80
  6. Step 6: Final answer
    x = 48.56

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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.