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Finding the Fourth Proportional to 35, 48.15 and 30.39

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Solution

The fourth proportional to 35, 48.15 and 30.39 is: 41.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    35 : 48.15 = 30.39 : x
  2. Step 2: Convert to fraction form
    35/48.15 = 30.39/x
  3. Step 3: Cross multiply
    35x = 48.15 × 30.39
  4. Step 4: Simplify right side
    35x = 1,463.28
  5. Step 5: Solve for x
    x = 1,463.28/35
  6. Step 6: Final answer
    x = 41.81

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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.