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Finding the Fourth Proportional to 35.14, 48.06 and 34.61

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Solution

The fourth proportional to 35.14, 48.06 and 34.61 is: 47.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.14 : 48.06 = 34.61 : x
  2. Step 2: Convert to fraction form
    35.14/48.06 = 34.61/x
  3. Step 3: Cross multiply
    35.14x = 48.06 × 34.61
  4. Step 4: Simplify right side
    35.14x = 1,663.36
  5. Step 5: Solve for x
    x = 1,663.36/35.14
  6. Step 6: Final answer
    x = 47.34

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.