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Finding the Fourth Proportional to 38.80, 53.49 and 26.50

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Solution

The fourth proportional to 38.80, 53.49 and 26.50 is: 36.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.80 : 53.49 = 26.50 : x
  2. Step 2: Convert to fraction form
    38.80/53.49 = 26.50/x
  3. Step 3: Cross multiply
    38.80x = 53.49 × 26.50
  4. Step 4: Simplify right side
    38.80x = 1,417.49
  5. Step 5: Solve for x
    x = 1,417.49/38.80
  6. Step 6: Final answer
    x = 36.53

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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.