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Finding the Fourth Proportional to 35.60, 49.13 and 30.14

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Solution

The fourth proportional to 35.60, 49.13 and 30.14 is: 41.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.60 : 49.13 = 30.14 : x
  2. Step 2: Convert to fraction form
    35.60/49.13 = 30.14/x
  3. Step 3: Cross multiply
    35.60x = 49.13 × 30.14
  4. Step 4: Simplify right side
    35.60x = 1,480.38
  5. Step 5: Solve for x
    x = 1,480.38/35.60
  6. Step 6: Final answer
    x = 41.59

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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.