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Finding the Fourth Proportional to 48.17, 72.25 and 17.74

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Solution

The fourth proportional to 48.17, 72.25 and 17.74 is: 26.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.17 : 72.25 = 17.74 : x
  2. Step 2: Convert to fraction form
    48.17/72.25 = 17.74/x
  3. Step 3: Cross multiply
    48.17x = 72.25 × 17.74
  4. Step 4: Simplify right side
    48.17x = 1,281.72
  5. Step 5: Solve for x
    x = 1,281.72/48.17
  6. Step 6: Final answer
    x = 26.61

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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.