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Finding the Fourth Proportional to 35.38, 48.47 and 34.01

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Solution

The fourth proportional to 35.38, 48.47 and 34.01 is: 46.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.38 : 48.47 = 34.01 : x
  2. Step 2: Convert to fraction form
    35.38/48.47 = 34.01/x
  3. Step 3: Cross multiply
    35.38x = 48.47 × 34.01
  4. Step 4: Simplify right side
    35.38x = 1,648.51
  5. Step 5: Solve for x
    x = 1,648.51/35.38
  6. Step 6: Final answer
    x = 46.60

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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.