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Finding the Fourth Proportional to 48.78, 73.13 and 18.34

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Solution

The fourth proportional to 48.78, 73.13 and 18.34 is: 27.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.78 : 73.13 = 18.34 : x
  2. Step 2: Convert to fraction form
    48.78/73.13 = 18.34/x
  3. Step 3: Cross multiply
    48.78x = 73.13 × 18.34
  4. Step 4: Simplify right side
    48.78x = 1,341.20
  5. Step 5: Solve for x
    x = 1,341.20/48.78
  6. Step 6: Final answer
    x = 27.49

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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.