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Finding the Fourth Proportional to 48.54, 72.80 and 26.84

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Solution

The fourth proportional to 48.54, 72.80 and 26.84 is: 40.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.54 : 72.80 = 26.84 : x
  2. Step 2: Convert to fraction form
    48.54/72.80 = 26.84/x
  3. Step 3: Cross multiply
    48.54x = 72.80 × 26.84
  4. Step 4: Simplify right side
    48.54x = 1,953.95
  5. Step 5: Solve for x
    x = 1,953.95/48.54
  6. Step 6: Final answer
    x = 40.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.